A car accelerates uniformly from rest along a straight road until it reaches #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 #=24s#

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

Therefore,

The distance is #s=1/2t*50=25t#

where the time for the journey is #=ts#

#25t=600#

#t=600/25=24s#