Projectile Motion Help: Calculating Direction of a Ball Thrown from a Cliff

AI Thread Summary
A ball is thrown horizontally from a 45-meter cliff at 10 meters per second, and the goal is to calculate its direction just before impact. The time of flight is determined to be 3 seconds, resulting in a horizontal distance of 20 meters. The horizontal velocity remains constant at 10 m/s due to gravity acting only on the vertical component. To find the vertical velocity just before impact, a kinematic equation can be applied, specifically v² = u² + 2as, where 'a' is acceleration, 'u' is initial velocity, and 's' is distance. Using trigonometry with the horizontal and vertical components will yield the angle of impact with the horizontal surface.
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Homework Statement


a ball is throwm horizontally from top of a cliff with velocity 10meter per second. height of cliff above the ground is 45 meters. calculate the direction of ball to horizontal surface just before it hits the grouND

The Attempt at a Solution

i found time=3s...and horizontal distance as 20m...but i cud not figure out ANYTHING ABT THE DIRECTION...PLZ HELP
 
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Do you know how to get the vertical and horizontal components of the ball's velocity right before it hits the ground? If so, you can directly use trigonometry to get the direction.
 
um i have tried a lot... can u please help me find the angle just before the angle hits the horizontal surface...m a learner...looking forward to ur cooperation
 
Gravity acts downwards, so it can't change the ball's horizontal speed. It's still 10 m/s on impact. As for vertical speed, can you find a kinematic equation that relates acceleration, distance traveled, initial speed, and final speed?
 
ideasrule said:
Gravity acts downwards, so it can't change the ball's horizontal speed. It's still 10 m/s on impact. As for vertical speed, can you find a kinematic equation that relates acceleration, distance traveled, initial speed, and final speed?

yes v²-u²=2as...where a is acceleration
u is initial velocity...s is distance...v is final velocity
 
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