Question

A particle starting from rest undergoes a rectilinear motion with acceleration a. the variation of a with time t is shown below. the max velocity attained by the particle during its motion is

Answer 1

as area under acceleration time graph gives velocity
so velocity= 1/2 x base x height = 1/2x12x10 = 60 m/s

Answer 2

Answer: The maximum velocity is 60 meter per second.

Explanation:

The area under the curve acceleration versus time graph gives velocity.

Calculate the max velocity attained by the particle during its motion from the given curve.

v= area of the triangle

$v=\frac{1}{2}\times base\times height$

Put base=12 s and height=10 meter per second.

$v=\frac{1}{2}\times 12\times 10$

$v=60$

Therefore, the velocity is 60 meter per second.