A body moving with some initial velocity and having uniform acceleration attains a final velocity after travelling . If its final velocity is find the acceleration (in ) of the body.

Question

A body moving with some initial velocity and having uniform acceleration attains a final velocity $v m/s$ after travelling $x m$ . If its final velocity is $v = \sqrt{180 - 7 x},$ find the acceleration (in ${m/s}^{2}$ ) of the body.

Smart Achievers · Accepted Answer

(1)

$v = \sqrt{180 - 7 x}$ where $x$ is the distance.

$∴$ ${m/s}^{2}$

From the dimensions, 180 has dimensions of square of velocity.

For a body travelling with uniform acceleration, $v^{2} - u^{2} = 2 a S$ is valid.

By inspection one can say

$u^{2} = 180,$ $2 a S = - 7 x (here S = x)$

$- 7 x = 2 a x$ $∴$ $a = - 3.5 m / s^{2}$

Solution

Q.
A body moving with some initial velocity and having uniform acceleration attains a final velocity $v m/s$ after travelling $x m$ . If its final velocity is $v = \sqrt{180 - 7 x},$ find the acceleration (in ${m/s}^{2}$ ) of the body.

1 $- 3.5$

2 $- 7$

3 $- 15$

4 $- 30$

Want Us to Email you About Special Offers & Updates?

Solution

Q. A body moving with some initial velocity and having uniform acceleration attains a final velocity v m/s after travelling x m. If its final velocity is v=180-7x, find the acceleration (in m/s2) of the body.

1 -3.5

2 -7

3 -15

4 -30