Question

For a boby travelling with uniform acceleration its final velocity is v=√180-7x, where x is distance traveled by a body. Then acceleration of the body

Answer 1

Given :-

For a body travelling with uniform acceleration, its final velocity is V = √180 – 7x, where x is distance travelled by a body.

To find :-

Acceleration of the body

Solution :-

v => velocity

t => time

a => acceleration

x => distance

$a \: => dv/dt$

$dv/dt = dv/dx ÷ dt/dx = dx/dt × dv/dx$

$dx/dt = v$

• Therefore,

$dv/dt = v. dv/dx$

$dv/dx 21 of √(180 – 7x) = -7 × {1/2 √(180 – 7x)}$

$dv/dt = √(180 – 7x) × (3.5/(√(180 – 7x))$

$=> 3.5$