if michael jordan has a vertical leap of 1.29m., then what is his takeoff speed and his hang time (total time to move upwards to the peak and then return to the ground)
d (distance) = 1.29 m
Vf (final velocity) = 0 m/s (maximum height)
a (acceleration) = -9.8 m/s² (going up)
Vi (initial velocity) = ? unknown
we can use the formula Vi = - 2ad since Vf = 0 m/s
Vi =√ - 2ad
=√ - 2 × -9.8 m/s² × 1.29 m
= √ 19.6 m/s² × 1.29 m
= √ 25.284 m²/s²
= 5.028 m/s
Note: The time going up until it reaches the maximum height is equal to time from the top to return to the ground.
to determine the total hang time, we must multiply the time going up by 2.
Solve for time going up.
t = Vf - Vi / a
= 0 m/s - 5.028 m/s / -9.8 m/s²
= - 5.028 m/s / -9.8 m/s²
= 0.513 seconds
total hang time = 0.513 s × 2 = 1.026 seconds
total hang time = 1.026 seconds
property of a body that effect it state of motion neccessary component of motion according to aristotle indirect force resulting from the application of a force.
Law of inertia is the tendency of an object to continue moving. Law of inertia is also known as momentum. Mass is dependent on the inertia on motion, the bigger the mass the bigger the inertia in motion or momentum which makes the object to be more difficult to stop. Since inertia in motion is also known as momentum, and momentum is mass × velocity, we should also consider velocity contributes to inertia in motion.
Hope it helps=)