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3. Rest and Motion : Kinematics
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Q5 of 89 Page 51

An athlete takes 20 s to reach his maximum speed of 180 km/h. What is the magnitude of his average acceleration?

Initial velocity, u=0


Final velocity, v=180 km/h=50 m/s


Time, t=20 s


We know, where a is the acceleration




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3

It is 260 km from Patna to Ranchi by air and 320 km by road. An aeroplane takes 30 minutes to go from Patna to Ranchi whereas a deluxe bus takes 8 hours. (a) Find the average speed of the plane. (b) Find the average speed of the bus. (c) Find the average velocity of the plane. (d) Find the average velocity of the bus.

4

When a person leaves his home for sightseeing by his car, the meter reads 12352 km. When he returns home after two hours the reading is 12416 km. (a) What is the average speed of the car during this period? (b) What is the average velocity?

6

The speed of a car as a function of time is shown in figure (3-E1). Find the distance travelled by the car in 8 seconds and its acceleration.


7

The acceleration of a cart started at t = 0, varies with time as shown in figure (3-E2). Find the distance travelled in

30 seconds and draw the position-time graph.


Questions · 89
3. Rest and Motion : Kinematics
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