The acceleration of the particle as a function of time t is

The velocity of the particle at time t is the integral of the acceleration:

where the constant C can be found by requiring that the velocity at time t=0 is v=3:

and we find

so the velocity is

The position of the particle at time t is the integral of the velocity:

where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:

and the velocity is:
Answer:
21.75 m
Explanation:
t = Time taken for the car to slow down = 0.75 s
u = Initial velocity = 50 m/s
v = Final velocity = 8 m/s
s = Displacement
a = Acceleration
Equation of motion

Acceleration is -56 m/s²

The distance covered in the 0.75 seconds is 21.75 m
Answer:
A. topsoil the answer
Explanation:
I think its a correct answer