Set 3 Part 1
Phys 1L03
Tutorial session
Set 3
Part 1 Third series: Conceptual questions on kinematics. Multiple choice questions are changed for discussion. 1. Can a body have velocity and acceleration in opposite direction in an instant? 2. When a ball is thrown upward, what are its velocity and acceleration at its highest point? 3. If you drop a ball, it accelerates downward at 9.8 m/s2. if instead you throw the ball straight upward , just after you release it, what is the acceleration of the ball. 4. At a given instant of time, a car and a truck are traveling side by side in adjacent lanes of a highway. The car has a greater velocity than the truck. Discuss about their acceleration (which one is greater). 5. Displacement can be obtained from: a. The slope of an acceleration-time graph b. The slope of a velocity-time graph c. The area under an acceleration-time graph d. The area under a velocity-time graph 6. An object is released from rest. How far it fall during the third second of its fall: 7. For a particle, this graph shows its displacement vs time. Discuss about the velocity and acceleration of the particle. What kind (positive, negative, constant, zero) can they be?
8. A snowball moves according to the velocity-time graph shown in the drawing below.
a. Draw the position-time graph of snow ball b. Draw the acceleration –time graph of snowball
9. Two balls are thrown vertically upward, one with an initial speed twice that of the other. What height the ball with the greater initial speed will reach (compare the height that of each ball will reach.): 10. A racing car traveling with constant acceleration increases its speed from 10 m / s to 50 m / s over a distance of 60 m . How long does it take? 11. A ball is thrown upward with an initial velocity v0. What is its velocity halfway to its highest point? 12. Figure below shows the motion of a particle moving along an x axis with a constant acceleration. Find the magnitude and direction of the particle acceleration. 13. Which of the following graphs represents the motion of an object whose speed is increasing? Discuss each graph separately.
14. A car has an initial speed of 15 m/s and an acceleration of –1 m/s2. the car travel in the first 10 s after the acceleration begins?
How much distance can
15. From the top of a tower, a person throws two stones. The stones have same initial speed v0. But stone 1 is thrown downward, while stone 2 is thrown upward. What is their velocity when they strike the ground? Which one has longer time of flight? 16. A student drives a moped along a straight road as described by the velocity-time graph below. Sketch a graph of position-time and acceleration-time above and below the velocity-time graph respectively, aligning the time coordinates of the graphs.
Set 3
Part 2
Third Series: Problems on Kinematics (Locomotion) 1.
A car accelerates from rest at a constant rate of 2m/s2 for 5.0 s. a. What is the speed of the car at the end of this time? b. How far does the car travel in this time?
2.
A Thompson’s gazelle can reach a speed of 13 m/s in 3.0 s. A lion can reach a speed of 9.5 m/s in 1.0 s. A trout can reach a speed of 2.8 m/s in 0.12 s. Which animal has the greatest acceleration?
3.
A motorboat traveling on a straight course slows down uniformly from 75km/h to 40km/h in a distance of 50m. What is the boat’s acceleration?
4.
An object is thrown vertically upward. Which of the following statements is true? a. Its velocity changes non uniformly b. Its max height is independent of the initial velocity c. Its travel time upward is slightly greater than its travel time downwards d. The speed on returning to its starting point is the same as its initial speed upward.
5.
If an object travels with positive velocity in the x-direction, can it have a negative acceleration along the x-axis at the same time?
6.
If a car traveling at 28m/s is brought to a full stop in 4.0s after the brakes are applied, what is the cars average acceleration?
7.
A 50.0g super ball traveling at 25.0m/s bounces off a brick wall and rebounds at 22.0m/s. If the ball is in contact with the wall for 3.50ms, what is the average acceleration of the ball during this time interval?
8.
A stone thrown upward with an initial speed of 16 m/s. a. b. c. d.
What will its maximum height be? When will it return to the ground? Where will be in 8.0 s? Where will be in 2.4 s
9.
A train going from one station to the next on a straight section of track accelerates from rest at 1.4 m/s2 for 15 s. It then proceeds at constant speed for 1100 m before slowing down at 2.2 m/s2 until it stops at the station. a) What is the distance between the stations? b) How long does it take the train to go between the stations? c) What is average speed of train between two stations?
10.
A parachutist bails out and freely falls 55 m. Then the parachute opens, and thereafter she decelerates at 2.2 m/s2. She reaches the ground with a speed of 3.1 m/s. (a) How long is the parachutist in the air? (b) At what height does the fall begin?
11.
A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a 10o inclined. His speed at the bottom is 15 m/s. (a) What is the length of the inclined? (b) How long does it take him to reach the bottom?
12.
A bullet is fired horizontally from top of a cliff that is 20.0 m above a long lake. If the muzzle speed of the bullet is 500.0 m/s, how far from the bottom of the cliff does the bullet strike the surface of the lake?
13.
A stone of mass 32.0 kg is thrown by catapult with an initial velocity of 50.0 m/s at a angle of 30o. (a) What is the maximum height reached by the stone? (b) What is its range (the horizontal distance traveled when the projectile returns to its original height)? (c) How long has the stone been in the air when it returns to its original height?
14.
An arrow is shot into the air at an angle of 60.0o above the horizontal with a speed of 20.0 m/s. (a) What are the x- and y-components of the velocity of the arrow 3.0 s after it leaves the bowstring? (b) What are the x- and y-components of position of the arrow after 3.0 s?
15.
Tutorial session
Set 3
Part 1 Third series: Conceptual questions on kinematics. Multiple choice questions are changed for discussion. 1. Can a body have velocity and acceleration in opposite direction in an instant? 2. When a ball is thrown upward, what are its velocity and acceleration at its highest point? 3. If you drop a ball, it accelerates downward at 9.8 m/s2. if instead you throw the ball straight upward , just after you release it, what is the acceleration of the ball. 4. At a given instant of time, a car and a truck are traveling side by side in adjacent lanes of a highway. The car has a greater velocity than the truck. Discuss about their acceleration (which one is greater). 5. Displacement can be obtained from: a. The slope of an acceleration-time graph b. The slope of a velocity-time graph c. The area under an acceleration-time graph d. The area under a velocity-time graph 6. An object is released from rest. How far it fall during the third second of its fall: 7. For a particle, this graph shows its displacement vs time. Discuss about the velocity and acceleration of the particle. What kind (positive, negative, constant, zero) can they be?
8. A snowball moves according to the velocity-time graph shown in the drawing below.
a. Draw the position-time graph of snow ball b. Draw the acceleration –time graph of snowball
9. Two balls are thrown vertically upward, one with an initial speed twice that of the other. What height the ball with the greater initial speed will reach (compare the height that of each ball will reach.): 10. A racing car traveling with constant acceleration increases its speed from 10 m / s to 50 m / s over a distance of 60 m . How long does it take? 11. A ball is thrown upward with an initial velocity v0. What is its velocity halfway to its highest point? 12. Figure below shows the motion of a particle moving along an x axis with a constant acceleration. Find the magnitude and direction of the particle acceleration. 13. Which of the following graphs represents the motion of an object whose speed is increasing? Discuss each graph separately.
14. A car has an initial speed of 15 m/s and an acceleration of –1 m/s2. the car travel in the first 10 s after the acceleration begins?
How much distance can
15. From the top of a tower, a person throws two stones. The stones have same initial speed v0. But stone 1 is thrown downward, while stone 2 is thrown upward. What is their velocity when they strike the ground? Which one has longer time of flight? 16. A student drives a moped along a straight road as described by the velocity-time graph below. Sketch a graph of position-time and acceleration-time above and below the velocity-time graph respectively, aligning the time coordinates of the graphs.
Set 3
Part 2
Third Series: Problems on Kinematics (Locomotion) 1.
A car accelerates from rest at a constant rate of 2m/s2 for 5.0 s. a. What is the speed of the car at the end of this time? b. How far does the car travel in this time?
2.
A Thompson’s gazelle can reach a speed of 13 m/s in 3.0 s. A lion can reach a speed of 9.5 m/s in 1.0 s. A trout can reach a speed of 2.8 m/s in 0.12 s. Which animal has the greatest acceleration?
3.
A motorboat traveling on a straight course slows down uniformly from 75km/h to 40km/h in a distance of 50m. What is the boat’s acceleration?
4.
An object is thrown vertically upward. Which of the following statements is true? a. Its velocity changes non uniformly b. Its max height is independent of the initial velocity c. Its travel time upward is slightly greater than its travel time downwards d. The speed on returning to its starting point is the same as its initial speed upward.
5.
If an object travels with positive velocity in the x-direction, can it have a negative acceleration along the x-axis at the same time?
6.
If a car traveling at 28m/s is brought to a full stop in 4.0s after the brakes are applied, what is the cars average acceleration?
7.
A 50.0g super ball traveling at 25.0m/s bounces off a brick wall and rebounds at 22.0m/s. If the ball is in contact with the wall for 3.50ms, what is the average acceleration of the ball during this time interval?
8.
A stone thrown upward with an initial speed of 16 m/s. a. b. c. d.
What will its maximum height be? When will it return to the ground? Where will be in 8.0 s? Where will be in 2.4 s
9.
A train going from one station to the next on a straight section of track accelerates from rest at 1.4 m/s2 for 15 s. It then proceeds at constant speed for 1100 m before slowing down at 2.2 m/s2 until it stops at the station. a) What is the distance between the stations? b) How long does it take the train to go between the stations? c) What is average speed of train between two stations?
10.
A parachutist bails out and freely falls 55 m. Then the parachute opens, and thereafter she decelerates at 2.2 m/s2. She reaches the ground with a speed of 3.1 m/s. (a) How long is the parachutist in the air? (b) At what height does the fall begin?
11.
A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a 10o inclined. His speed at the bottom is 15 m/s. (a) What is the length of the inclined? (b) How long does it take him to reach the bottom?
12.
A bullet is fired horizontally from top of a cliff that is 20.0 m above a long lake. If the muzzle speed of the bullet is 500.0 m/s, how far from the bottom of the cliff does the bullet strike the surface of the lake?
13.
A stone of mass 32.0 kg is thrown by catapult with an initial velocity of 50.0 m/s at a angle of 30o. (a) What is the maximum height reached by the stone? (b) What is its range (the horizontal distance traveled when the projectile returns to its original height)? (c) How long has the stone been in the air when it returns to its original height?
14.
An arrow is shot into the air at an angle of 60.0o above the horizontal with a speed of 20.0 m/s. (a) What are the x- and y-components of the velocity of the arrow 3.0 s after it leaves the bowstring? (b) What are the x- and y-components of position of the arrow after 3.0 s?
15.
