A car accelerates uniformly from rest along a straight road until it reaches $50 m s^{- 1}$ $50ms^-1$ . Once this speed is reached it immediately starts to decelerate uniformly until stationary again. If the total distance travelled is 600m, how long does journey take?

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Answer 1 · 2018-05-18T16:58:35

The journey lasts for $= 24 s$ $=24s$

The total distance travelled is the area under the $v = f (t)$ $v=f(t)$ curve.

Therefore,

The distance is $s = \frac{1}{2} t \cdot 50 = 25 t$ $s=1/2t*50=25t$

where the time for the journey is $= t s$ $=ts$

$25 t = 600$ $25t=600$

$t = \frac{600}{25} = 24 s$ $t=600/25=24s$

A car accelerates uniformly from rest along a straight road until it reaches 50ms^-150ms−150ms^-1. Once this speed is reached it immediately starts to decelerate uniformly until stationary again. If the total distance travelled is 600m, how long does journey take?