Question

the velocity of a body at the end of $4$ seconds is $26m{s}^{-1}$, at the end of $12$ seconds is $58m{s}^{-1}$ and at the end of $22$ seconds is $98m{s}^{-1}$. The body is moving with:-

• A. Uniform acceleration
• B. Uniform speed
• C. Uniform velocity
• D. Uniform displacement

Answer 1

The correct option is A Uniform acceleration

Let acceleration is constant

$26=u+a\left(4\right)$ -----1

$58=u+a\left(12\right)$ -----2

$98=u+a\left(22\right)$ ------3

From (1)and (2) we get

$32=8a$

$a=4$

From (2) and (3) we get

$40=10a$

$a=4$

So, acceleration is constant

Hence, the option $A$ is correct answer.