Question

if motion of an object is described by x is equal to f into t write the formula for instantaneous velocity and acceleration

plz answer the question​

Answer 1

Instantaneous velocity= dx/dt

Instantaneous velocity= dx/dtAcceleration a=d²x/dt²

Explanation :

We are given that  a motion of an object is described by

x= f(t)

We have to find the instantaneous velocity and acceleration

We know that

Instantaneous velocity= ds/dt

Therefore, instantaneous velocity= dx/dt = df(t)/dt = f'(t)

Hence, instantaneous velocity=f'(t)

Acceleration a= d²x/dt²

Substitute the values then we get

a= d²f(t)/dt = f''(t)

Hence, the acceleration a=f''(t)

Answer 2

Explanation:

here is ur ans...

Instantaneous velocity will be given by differentiation of the position as a function of time.

Therefore v = dx/dt = d {f(t)}/dt =g(t)

let g(t) be another function of time representing velocity

Therefore acceleration is given by

dv/dt = d {g(t)}/dt .............

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