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A car starting from rest moves with a uniform acceleration of 0.2 ms-2 for 3 min. Find the speed acquired the distance traveled. -

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Question

A car starting from rest moves with a uniform acceleration of 0.2 ms-2 for 3 min. Find the

  1. speed acquired 
  2. the distance traveled.
Answer in Brief

Solution

Initial speed (u) = 0 m/s
Acceleration (a) = 0.2 ms-2
Time taken (t) = 3 min = 3 × 60 = 180 s
Final velocity (v) = ?
Distance covered(s) = ?
v = u + at = 0 + 0.2 × 180 = 36 m/s
v = 36m/s
s = ut + 1/2 at2 = 0 + 1/2 × 0.2 × (180)2
= 0.1 × 32400 = 3240 m
s = 3240m

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