Answer to Question #94503 in Mechanics | Relativity for harshita kashyap

Question #94503
A car accelerates uniformly from rest to 25/m/s/s in 10 seconds. Sketch the graph for displacement versus time graph
1
Expert's answer
2019-09-16T09:45:23-0400

The displacement of the car is described by equation


d=vit+at22=at22d=v_it+\frac{at^2}{2}=\frac{at^2}{2}

The acceleration of the car


a=ΔvΔt=25m/s0m/s10s=2.5m/s2a=\frac{\Delta v}{\Delta t}=\frac{25\:\rm m/s-0\: m/s}{10\:\rm s}=2.5\:\rm m/s^2

So

d=2.5t22=1.25t2d=\frac{2.5t^2}{2}=1.25t^2

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