Answer :
Answer:
[tex]a=2.5\ m/s^2[/tex]
Explanation:
Motion With Constant Acceleration
It's a type of motion in which the velocity of an object changes uniformly over time.
The equation that describes the change of velocities is:
[tex]v_f=v_o+at[/tex]
Where:
a = acceleration
vo = initial speed
vf = final speed
t = time
Solving the equation for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]
The ball starts at rest (vo=0) and rolls down an inclined plane that makes it reach a speed of vf=7.5 m/s in t=3 seconds.
The acceleration is:
[tex]\displaystyle a=\frac{7.5-0}{3}[/tex]
[tex]\boxed{a=2.5\ m/s^2}[/tex]