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

Question

A car accelerates uniformly from rest to 25/m/s/s in 10 seconds. Sketch the graph for displacement versus time graph

Answer 1

The displacement of the car is described by equation

$d=v_it+\frac{at^2}{2}=\frac{at^2}{2}$

The acceleration of the car

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

So

$d=\frac{2.5t^2}{2}=1.25t^2$