A particle starts with an initial velocity 2.0 m/s along the positive x-direction and it accelerates
uniformly at the rate of 0.40 m/s2
(a) Find the distance travelled by it in the first three seconds.
(b) How much time does it take to reach the velocity 9.0 m/s?
(c) How much distance will it cover in reaching the velocity 9.0 m/s?
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Answer:
we have
(a) S = ut +1/2 a t2
= 2 2 + ½ 1 (2)2
= 4 + 2
= 6m
(b) Time taken to reach the velocity of 5 m/s is:
v = u + at
5 = 2 + 1 t
t = 3 seconds
(c) Distance covered on reaching the velocity of 5 m/s is:
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