Answer:
a= - 1.2 m/s²
Direction of a : in the negative x- direction
Explanation:
Because the ball moves with uniformly accelerated movement we apply the following formula:
vf²=v₀²+2*a*d Formula (1)
Where:
d:displacement in meters (m)
v₀: initial velocity in m/s
vf: final velocity in m/s
a: acceleration in m/s²
Known data
v₀ = 9.0 m/s
vf= 3.00 m/s
d = 30.0 m.
Problem development
We replace data in the formula (1) to calculate acceleration :
vf²=v₀²+2*a*d
(3)²= (9)² + (2* 30)*a
9=81+(60)*a
9-81=(60)*a
-72= (60)*a
a= -72/60
a= - 1.2 m/s²
Direction of a : in the negative x- direction
