Question

if the motion of an object is described as x=f(t) write formulae for instantaneous velocity and acceleration​

Answer 1

Answer:

v=dx/dt

a=dv/dt

these are for instantaneous

Explanation:

Thankuu

Answer 2

Answer:

Instantaneous velocity=f'(t)

Acceleration=f''(t)

Explanation:

We are given that if  the motion of an object is described as

$x=f(t)$

We have to find the instantaneous velocity and acceleration

Instantaneous velocity=$\frac{displacement}{time}=\frac{dx}{dt}$

Using the formula then ,we get

Instantaneous velocity=$\frac{df(t)}{dt}=f'(t)$

Acceleration=$\frac{d^2x}{dt^2}$

Substitute the values then we get

Acceleration=$\frac{d^2f(t)}{dt^2}=f''(t)$

Acceleration=f''(t)