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A guy drove a car from a flat ground on top of a building and laded on the next one that's 100m away several floors down. If the car landed with an angle 30 degrees to x axis, find initial horizontal speed of car?
Nida Singkorapoom
Initial horizontal velocity = ux (Note this velocity does not affect by gravity so stays the same throughout the jump)
Initial vertical velocity = uy = 0
time to travel horizontal distance, t = (horizontal distance)/(horizontal velocity)
t = 100/ux
This is the same time the car takes to travel vertical distance.
Using one of the equation of motion
vertical landing velocity, vy = uy + gt
vy = 0 + (9.81)(100/ux)
vy = 981/ux
angle of landing = 30°
tan30° = vy/ux
tan30° = (981/ux)/ux
(ux)² = 981/tan30°
ux = 41.22 m/s
Ash
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