Question #59233

A car accelerates from rest to a speed of 10 m/s in a time of 8 s what is the acceleleretion and how far will it go in this time ?
1

Expert's answer

2016-04-15T10:44:04-0400

Answer on Question #59233-Physics – Mechanics-Relativity

A car accelerates from rest to a speed of 10m/s10\,\mathrm{m/s} in a time of 8 s what is the acceleration and how far will it go in this time?

Solution

The acceleration is


a=vfviΔt=1008=1.25ms2.a = \frac{v_f - v_i}{\Delta t} = \frac{10 - 0}{8} = 1.25\,\frac{\mathrm{m}}{\mathrm{s}^2}.


The displacement is


d=vit+at22=08+1.25(8)22=40m.d = v_i t + \frac{a t^2}{2} = 0 \cdot 8 + \frac{1.25(8)^2}{2} = 40\,\mathrm{m}.


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