Question

The equation of motion of a body is given by x = 2t+2



. What

is the acceleration of the body?​

Answer 1

Answer:

0

Explanation:

Given the equation of motion of a body

x = 2t+2

x is displacement and t is time

we know that

Velocity V = dx/dt (Differentiation of displacement w.r.t time)

Acceleration a = d V/dt (Differentiation of velocity w.r.t time)

                        = d²x/dt²(Double derivative of displacement)

x = 2t + 2

Differentiate w.r.t  t

⇒ dx/dt = 2 dt/dt + 0       ( d/dx(constant) = 0)

        V  = 2m/s

∴Acceleration a = dV/dt = d(2)/dt = 0 m/s²