Question

1. A train starting from rest moves with a uniform acceleration of 0.1m/s 2 for 2
minutes. Find (i) the speed acquired (ii) the distance travelled
2. A motorboat starting from rest on a lake accelerates in a straight line at a
constant rate of 3.0m/s 2 for 8.0s. Find the final velocity of the boat.
3. A train is travelling at a speed of 90 km/h. Brakes are applied so as to
produce a uniform acceleration of -0.5 m/s 2 . Find how far the train will go
before it is brought to rest.
4. A racing car has a uniform acceleration of 4m/s 2 . What distance will it cover
in 10s after the start?
5. A stone is thrown in a vertically upward direction with a velocity of 5 m/s. If
the acceleration of the stone during its motion is 10m/s 2 in the downward
direction, what will be the height attained by the stone and how much time
will it take to reach there?
6. A ball is gently dropped from a height of 20m. If its velocity increases
uniformly at the rate of 10m/s 2 , with what velocity will it strike the ground?
After what time will it strike the ground?
7. A train starting from rest attains velocity of 72km/hr in 5 minutes. Assuming
that the acceleration is uniform, find                (1) the acceleration (2) the
distance travelled by the train for attaining this velocity.
8. A car accelerates uniformly from 18 km/hr to 36km/hr in 5 seconds.
Calculate (1) the acceleration (2) the distance covered by the car in that time.
9. The brakes applied to a car produce an acceleration of 6m/s in the opposite
direction to the motion. If the car takes 2secs to stop after the application of
brakes, calculate the distance it travels during this time.
10. A driver of a car travelling at 52 km/hr applies the brakes and accelerates
uniformly in the opposite direction. The car stops in 5secs. Another driver
going at 3 km/hr in another car applies his brakes slowly and stops in 10secs.

On the same graph paper, plot the speed versus time graphs for the two cars.
Which of the two cars travelled farther after the brakes were applied?

Answer 1

Answer:

1)bus starting from rest moves with a uniform acceleration of 0.1 m s-2 for 2 minutes. Find (a)the speed acquired, (b) the distance travelled. Thus, the bus will acquire a speed of 120 m/s after 2 minute with the given acceleration. Thus, bus will travel a distance of 720 m in the given time of 2 minute.