Question #226637

Jay~Z is currently riding his new car moving at constant speed of 60 kph. If his destination is 200 km away from him, how fast he must accelerate (in m/s^2) to arrive their in exactly 10 minutes


1
Expert's answer
2021-08-17T10:26:05-0400

10 minutes is 600 seconds. 60 km/h is


v=601000/3600=16.67 m/s.v=60·1000/3600=16.67\text{ m/s}.


200 km is 200 000 m.

To cover this distance in 600 s starting at 16.67 m/s, he must accelerate at


d=v0t+at22, a=2(dv0t)t2=1.056 m/s2.d=v_0t+\frac{at^2}{2},\\\space\\ a=\frac{2(d-v_0t)}{t^2}=1.056\text{ m/s}^2.


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