Q1. A car moves 100 m due east and then 25 m due west. (a) What is the distance covered by the car? (b) What is its displacement?

Q2. A person walks along the sides of a square field. Each side is 100 m long. What is the maximum magnitude of displacement of the person in any time interval?

Q3. In the hare-tortoise race, the hare ran for 2 min at a speed of 7.5 km/h, slept for 56 min and again ran for 2 min at a speed of 7.5 km/h. Find the average speed of the hare in the race?

Q4. A bus takes 8 hours to cover a distance of 320 km What is the average speed of the bus?

Q5. The maximum speed of a train is 80 km/h. It takes 10 hours to cover a distance of 400 km. Find the ratio of its maximum speed to its average speed.

Q6. An object moves through 10m in 2 minutes and next 10m in 3 minutes. Calculate its average speed.

Q7. A car moves through 20 km at a speed of 40 km/h, and the next 20 km at a speed of 60 km/h. Calculate its average speed.

Q8. A boy leaves his house at 9.30 a.m. for his school. The school is 2 km away and classes start at 10.00 a.m. If he walks at a speed of 3 km/h for the first kilometre, at what speed should he walk the second kilometre to reach just in time?

Q9. A bus moves at a uniform speed v1 for some time and then with a uniform speed v2. The distance-time table is given below. Plot the corresponding distance-time graph and answer the following questions.

Time (min) Distance (km)

0 0

20 20

40 40

60 65

80 95

100 125

120 155

(a) Find the values of t and v2.

(b) When did the bus change its speed?

(c) What is the distance covered in the first hour?

(d) What is the distance covered in the second hour?

(e) What is the average speed for the complete journey?

Q10. A bicycle increases its velocity from 10 km/h to 15 km/h in 6 seconds. Calculate its acceleration.

Q11. An object moves along a straight line with an acceleration of 2 m/s. If its initial speed is 10 m/s what will be its speed 5 s later?

Q12. An object dropped from a cliff falls with a constant acceleration of 10 m/s2. Find its speed 2s after it was dropped.

Q13. A bullet hits a wall with a velocity of 20 m/s and penetrates it up to a distance of 5 cm. Find the deceleration of the bullet in the wall.

Q14. A train starts from a station and moves with constant acceleration for 2 minutes. If it covers a distance of 400 m in this period, find the acceleration.

Q15. A ship moving with a constant acceleration of 36 km/h2 in a fixed direction speeds up from 12 km/h to 18 km/h. Find the distance traversed by the ship in this period.

Q16. A particle starts from a point with a velocity of +6.0 m/s and moves with an acceleration of -20 m/s Show that after 6 s the particle will be at the starting point.

Q17. A bicycle moves with a constant velocity of 5 km/h for 10 minutes and then decelerates at the rate 1 km/h2, till it stops. Find the total distance covered by the bicycle.

Q18. An object is moving along a straight line with a uniform speed of 10 m/s. Plot a graph showing distance versus time fromt- 0 to 10 s.

Q19 A particle moves along a straight line with a uniform velocity of 5.0 m/s. Plot a distance-time graph for the period t 0 to 5 S.

Q20. The driver of a car travelling at 36 km/h applies the brakes to decelerate uniformly. The car stops in 10s. Plot the speed-time graph for this period. Find the distance travelled by the car during this period by calculating the area under the graph .

Q21. A particle moves along a straight line with a constant acceleration a+0.5 m/s.At t=0 it in at x= 0, and its velocity is v=0. Plot the velocity-time and position-time graphs for the period t=0 to t= 5s.

Q22. Figure 2.E6 shows the speed-time graph of a bus.

(a) In which period is the bus accelerating?

(b) In which period is the bus decelerating?

(c) What is the distance covered during its acceleration?

(d) What is the distance covered during its deceleration?

(e) What is the average speed in the entire journey?

23. The velocity-time graph of a particle moving along a straight line is given in Figure 2.E7. (a) Is the particle moving in the positive direction at t 0? (b) Does the particle ever come to rest? If so, when? (c) Does the particle turn around? If so, when?