Calculating Projectile Motion from a Cliff: Using Coordinates and Equations

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SUMMARY

The discussion focuses on calculating projectile motion from a 20 m high cliff, where a ball is kicked horizontally at 10 m/s. The vertical velocity is adjusted to ensure the ball lands after 3 seconds. Key calculations include determining the initial vertical velocity, final velocity before impact, launch angle, horizontal distance traveled, and the overall distance from the cliff to the landing point. The Pythagorean theorem is confirmed as the method to calculate the distance between the starting and landing points.

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From the edge of a cli of height 20 m a (heavy) ball is kicked. Neglect air resistance. The
horizontal speed is 10 m/s (directed away from the cli ). The vertical velocity is chosen
such that the ball lands on the ground below the cliff after
3 s.

First describe how you choose your coordinate system (frame of reference): origin and di-
rections of axes used; and state the equations you apply to answer the questions below.

determine
(i) the initial vertical velocity,
(ii) the velocity and the speed of the ball just before it hits the ground,
(iii) the angle  (relative to the horizontal) when it was kicked o ,
(iv) the horizontal distance between the cli and the point where the ball landed,
(v) the distance between the starting point on top of the cli and the landing point.


I solved the questions from i-iv , but i need help how can I do the v question is it by using Pythagoras theorem ? or ?


Homework Equations





The Attempt at a Solution

 
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Since they are seeking the distance from point A to point B, I would use Pythagorean Theorem.
 
thanks for ur answer
 

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