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+1 vote
1.2k views
in Physics by (138k points)

A three-wheeler starts from rest, accelerates uniformly with 1 m s–2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1, 2, 3….) versus n. What do you expect this plot to be during accelerated motion: a straight line or a parabola?

1 Answer

+2 votes
by (93.7k points)
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Best answer

Distance covered by a body in nth second is given by the relation

Where,
u = Initial velocity a = Acceleration
n = Time = 1, 2, 3, ..... , n

In the given case, u = 0 and a = 1 m/s2

This relation shows that:

The plot between n and Dn will be a straight line as shown:

Since the given three-wheeler acquires uniform velocity after 10 s, the line will be parallel to the time-axis after n = 10 s.

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