The time it will take the object to slide down the incline is determined as 2.03 s.
How to calculate the time of motion?
The time it will take the object to slide down the incline is calculated as follows;
s = ut + ¹/₂at²
where;
- u is the initial velocity of the object
- t is the time of motion
- a is the acceleration of the object
- s is the distance traveled
- θ is the angle of inclination
s = 0 + ¹/₂at²
s = ¹/₂at²
s = ¹/₂(μg cosθ)t²
t² = 2s / μg cosθ
t = √ ( 2s / μg cosθ )
The time it will take the object to slide down the incline is calculated as follows;
t = √ ( 2s / μg cosθ )
t = √ ( 2 x 3.5 / (0.2 x 9.8 x cos 30 )
t = 2.03 s