Question

-) If the motion of an object is described by
x = f(t) write formulae for instantaneous
velocity and acceleration.​

Answer 1

Answer:

10.0seconds

Explanation:

If an object is accelerating or decelerating, the velocity of the object ... Position x is in meters, and time t is in seconds. What is the cat's instantaneous velocity at time t = 10.0 s?

Missing: f( ‎| Must include: f(

Answer 2

Answer:

Instantaneous velocity=f'(t)

Acceleration=f''(t)

Explanation:

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

$x=f(t)$

We have to write the formula for instantaneous velocity and acceleration

We know that instantaneous velocity=$=\frac{displacement}{time}=\frac{dx}{dt}$

Substitute the value then we get

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

Acceleration=$\frac{change\;in\;velocity}{time\;taken}=\frac{dv}{dt}$

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