Question

Find the distance covered by a particle during the time interval t=0 and t=4s for which the speed time graph is shown in figure [3 MARKS]

Answer 1

Solution: 3 Marks

Remember to use the displacement formula with intial velocity and acceleration.

So

$s=ut+\frac{1}{2}a{t}^{2}u=0asperthegraphRateofchangeofspeedisuniformAcceleration=\frac{20-0}{4-0}=5s=0+\frac{1}{2}\times 5\times t^{2}s=\frac{5}{2}{t}^{2}Att=0s=0Att=4s=40$

Ans: Distance covered is 40 km.