Answer:
The car will take 5 seconds
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes uniformly in time.
If the object starts from a speed vo during a time t with an acceleration a, then its final speed is:
[tex]v_f=v_o+at[/tex]
The car is accelerating at a rate of a= 4~m/s^2 and reaches a speed of vf=20 m/s starting from rest (vo=0).
From the equation shown above, we solve for t:
[tex]\displaystyle t=\frac{v_f-v_o}{a}[/tex]
[tex]\displaystyle t=\frac{20-0}{4}[/tex]
[tex]\displaystyle t=\frac{20}{4}[/tex]
t = 5 seconds
The car will take 5 seconds
