Motion in a Straight Line quiz

The slope of a position-time graph gives:

The area under a velocity-time graph gives:

At the highest point of a ball thrown vertically upwards:

The acceleration of a body moving with uniform velocity is:

The x-t graph for uniform motion is:

If the speed of a car is doubled, its stopping distance for the same deceleration becomes:

In the absence of air resistance, a heavy and a light ball dropped together:

For a round trip ending at the start point, the displacement is:

The equation v^2 = v0^2 + 2ax applies to:

For any motion, the average speed is:

Explain why a point object model is used for a moving body. (2 marks)

Define uniform motion. (2 marks)

What is meant by negative acceleration? Give an example. (2 marks)

Explain how the reaction time of a person can be measured with a falling ruler. (2 marks)

A body falls freely from 80 m. Find the time to reach the ground and the speed on impact. Take g = 10 m/s^2. (2 marks)

Why does a velocity-time graph never show two velocities at the same instant? (2 marks)

Find the distance covered in the nth second for a body with initial velocity u and acceleration a. (2 marks)

What is the significance of the area under an acceleration-time graph? (2 marks)

A cyclist moves at a constant speed around a circular track. Is his motion uniform in the sense of this chapter? Explain. (2 marks)

Define average velocity and average speed. (2 marks)

A ruler falls 21 cm before a student catches it. Find her reaction time. (3 marks)

A car accelerates from 10 m/s to 30 m/s in 5 s. Find the acceleration and the distance covered. (3 marks)

A stone is dropped from a bridge and hits the water after 3 s. Find the height of the bridge and the speed of impact. Take g = 10 m/s^2. (3 marks)

A car travelling at 20 m/s needs 40 m to stop. Find the stopping distance at 40 m/s with the same deceleration. (3 marks)

A body moves with v = 3t^2 - 2t m/s. Find its acceleration at t = 2 s. (3 marks)

Read the passage and answer the questions. A driver travelling at 25 m/s sees a red signal. Her reaction time is 0.5 s, after which she brakes with a deceleration of 5 m/s^2. (i) Find the distance covered during the reaction time. (ii) Find the braking distance. (iii) Find the total stopping distance. (5 marks)

Read the passage and answer the questions. A student drops a stone into a well. The splash is heard after 2 s. Ignore the time for sound to travel and take g = 10 m/s^2. (i) Find the depth of the well. (ii) Find the speed of the stone just before hitting the water. (iii) Would the true depth be slightly more or less if the time for sound were included? Explain. (5 marks)

Read the passage and answer the questions. A lift starts from rest, accelerates at 1 m/s^2 for 4 s, moves uniformly for 10 s and then decelerates to rest in 4 s. (i) Find its maximum speed. (ii) Draw its velocity-time graph in words. (iii) Find the total distance travelled. (5 marks)

Read the passage and answer the questions. A cheetah accelerates from rest to 30 m/s in 3 s. (i) Find its acceleration. (ii) Find the distance covered in these 3 s. (iii) How long would it take to cover 150 m more at 30 m/s? (5 marks)

Read the passage and answer the questions. A ball is thrown up at 15 m/s. Take g = 10 m/s^2. (i) Find the time to reach the highest point. (ii) Find the maximum height. (iii) Find its velocity when it returns to the thrower. (5 marks)

Explain position, path length and displacement with a suitable example on a straight line. (6 marks)

Explain the difference between average velocity and instantaneous velocity with the help of a position-time graph. (6 marks)

Derive the equations of motion for uniformly accelerated motion using calculus. (6 marks)

Explain the motion of a body thrown vertically upwards, with its position-time, velocity-time and acceleration-time graphs. (6 marks)

Derive an expression for the stopping distance of a vehicle and explain its importance for road safety. (6 marks)