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(b) km/min? (c) km/h? [(a)10.4 m/s (b)0.63 km/min (c) 37.6 km/h] 2. You are trying to figure out the speed a rifle can shoot. You fire at a target 100 m away and you hear the impact 0.5 seconds later. The speed of sound is 340 m/s. What was the speed of the bullet? [485m/s] 3. A car covers first half of the distance between two places at a speed of 40 km/h and the second half at 60 km/h. What is the average speed of the car? [48 km/h] 4. On a 60 km straight road, a bus travels the first 30 km with a uniform speed of 30 km/h. How fast must the bus travel the next 30 km so as to have average speed of 40 km/h for the entire trip? [60 km/h] 5. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again 5 steps forward and 3 steps backward and so on. Each step is 1m and requires 1 second. Plot position-time graph for his motion. From the graph or otherwise find the time taken by him to fall in a pit 13 m away from start. [Hint: In 8 seconds he moves forward by 2 m; total time t=37s] 6. The position-time graph shown in figure 3.8 represents the motion of a basketball coach during the last 8 seconds of the game in overtime. (a)Find the average velocity in the time intervals (i) 0 to 2 s, (ii) 0 to 4s, (iii) 2 s to 4 s, (iv) 4 s to 7 s, (v) 0 to 8 s. [(i) 5 m/s (ii) 1.25 m/s (iii) -2.5 m/s (iv) -3.3 m/s (v) 0] (b) Repeat part (a) for the average speed. [5 m/s; 3.75 m/s; 2.5 m/s; 3.3 m/s; 3.75 m/s] x(m) 10 8 6 4 2 0 1 2 3 4 5 6 7 8 t(s) -2 -4 -6 Figure 3.8 See exercise 6 7. A position-time graph for a particle moving along the x axis is shown in figure 3.9. (a) Find the instantaneous velocity at time t = 2 seconds (b) At what value of t is the velocity zero? [(a) -3.8 m/s (b) 4s] x(m) 12 10 8 6 4 2 0 1 2 3 4 5 6 t(s) Figure 3.9 See exercise 7 8. A particle moves along a straight line and O is the fixed point on that line. The displacement s

          (b) km/min?
(c) km/h? [(a)10.4 m/s (b)0.63 km/min (c) 37.6 km/h]
2. You are trying to figure out the speed a rifle can shoot. You fire at a target 100 m away and you hear the impact 0.5 seconds later. The speed of sound is 340 m/s. What was the speed of the bullet? [485m/s]
3. A car covers first half of the distance between two places at a speed of 40 km/h and the second half at 60 km/h. What is the average speed of the car? [48 km/h]
4. On a 60 km straight road, a bus travels the first 30 km with a uniform speed of 30 km/h. How fast must the bus travel the next 30 km so as to have average speed of 40 km/h for the entire trip? [60 km/h]
5. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again 5 steps forward and 3 steps backward and so on. Each step is 1m and requires 1 second. Plot position-time graph for his motion. From the graph or otherwise find the time taken by him to fall in a pit 13 m away from start. [Hint: In 8 seconds he moves forward by 2 m; total time t=37s]
6. The position-time graph shown in figure 3.8 represents the motion of a basketball coach during the last 8 seconds of the game in overtime.
(a)Find the average velocity in the time intervals
(i) 0 to 2 s,
(ii) 0 to 4s,
(iii) 2 s to 4 s,
(iv) 4 s to 7 s,
(v) 0 to 8 s. [(i) 5 m/s (ii) 1.25 m/s (iii) -2.5 m/s (iv) -3.3 m/s (v) 0]
(b) Repeat part (a) for the average speed. [5 m/s; 3.75 m/s; 2.5 m/s; 3.3 m/s; 3.75 m/s]
x(m)
10
8
6
4
2
0 1 2 3 4 5 6 7 8 t(s)
-2
-4
-6
Figure 3.8 See exercise 6
7. A position-time graph for a particle moving along the x axis is shown in figure 3.9.
(a) Find the instantaneous velocity at time t = 2 seconds
(b) At what value of t is the velocity zero? [(a) -3.8 m/s (b) 4s]
x(m)
12
10
8
6
4
2
0 1 2 3 4 5 6 t(s)
Figure 3.9 See exercise 7
8. A particle moves along a straight line and O is the fixed point on that line. The displacement s

(b) km/min?
(c) km/h? [(a)10.4 m/s (b)0.63 km/min (c) 37.6 km/h]
2. You are trying to figure out the speed a rifle can shoot. You fire at a target 100 m away and you hear the impact 0.5 seconds later. The speed of sound is 340 m/s. What was the speed of the bullet? [485m/s]
3. A car covers first half of the distance between two places at a speed of 40 km/h and the second half at 60 km/h. What is the average speed of the car? [48 km/h]
4. On a 60 km straight road, a bus travels the first 30 km with a uniform speed of 30 km/h. How fast must the bus travel the next 30 km so as to have average speed of 40 km/h for the entire trip? [60 km/h]
5. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again 5 steps forward and 3 steps backward and so on. Each step is 1m and requires 1 second. Plot position-time graph for his motion. From the graph or otherwise find the time taken by him to fall in a pit 13 m away from start. [Hint: In 8 seconds he moves forward by 2 m; total time t=37s]
6. The position-time graph shown in figure 3.8 represents the motion of a basketball coach during the last 8 seconds of the game in overtime.
(a)Find the average velocity in the time intervals
(i) 0 to 2 s,
(ii) 0 to 4s,
(iii) 2 s to 4 s,
(iv) 4 s to 7 s,
(v) 0 to 8 s. [(i) 5 m/s (ii) 1.25 m/s (iii) -2.5 m/s (iv) -3.3 m/s (v) 0]
(b) Repeat part (a) for the average speed. [5 m/s; 3.75 m/s; 2.5 m/s; 3.3 m/s; 3.75 m/s]
x(m)
10
8
6
4
2
0 1 2 3 4 5 6 7 8 t(s)
-2
-4
-6
Figure 3.8 See exercise 6
7. A position-time graph for a particle moving along the x axis is shown in figure 3.9.
(a) Find the instantaneous velocity at time t = 2 seconds
(b) At what value of t is the velocity zero? [(a) -3.8 m/s (b) 4s]
x(m)
12
10
8
6
4
2
0 1 2 3 4 5 6 t(s)
Figure 3.9 See exercise 7
8. A particle moves along a straight line and O is the fixed point on that line. The displacement s

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