Answer:
The angle above horizontal is 13.3°.
Explanation:
The angle can be calculated with Newton's third law:
Where:
ΣF: is the forces acting on the object
m: is the mass of the object = 6.00 kg
a: is the acceleration of the object
The only force acting on the object is the weight since there is no friction, so:
(1)
Where:
θ: is the angle
g: is the acceleration due to gravity = 9.81 m/s²
We can find the acceleration from the following kinematic equation:
Where:
: is the final speed = 3.00 m/s
: is the initial speed = 0 (the block starts from rest)
d: is the distance traveled = 2.00 m
The acceleration is:
Finally, the angle is (equation 1):
Therefore, the angle above horizontal is 13.3°.
I hope it helps you!