A body travels with uniform acceleration.Its final velocity,v=180-7x,where x is the displacement.Then find its acceleration.
To find the acceleration, we need to differentiate the equation for the final velocity with respect to displacement, x.
Given: final velocity, v = 180 - 7x
Differentiating v with respect to x gives us:
dv/dx = d/dx(180 - 7x)
The derivative of a constant term (180) with respect to x is zero, so we only differentiate the second term:
dv/dx = -7
Therefore, the acceleration (a) equals -7.