Question #55101

A cyclist accelerates at a rate of 6.6m/s/s. How long will it take the cyclist to reach a speed of 14m/s from rest?
1

Expert's answer

2015-10-21T00:00:47-0400

Answer on Question#55101 – Physics – Mechanics | Relativity

Question

A cyclist accelerates at a rate of 6.6ms26.6\frac{m}{s^2}. How long will it take the cyclist to reach a speed of 14ms14\frac{m}{s} from rest?

Solution

Write down relevant formula:


V=at+V0,V = a t + V _ {0},


where ttime,Vspeedt - time, V - speed at time t,aacceleration,V0initialspeedt, a - acceleration, V_0 - initial speed.

Factor out tt:


t=VV0at = \frac {V - V _ {0}}{a}


Plug in numbers:


t=1406.6=146.62.1(s)t = \frac {14 - 0}{6.6} = \frac {14}{6.6} \approx 2.1 (s)


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