Projectile Motion: Time, Distance, and Velocity in 2D

AI Thread Summary
The discussion focuses on the projectile motion of a cannonball fired horizontally at 1000.0 m/s from a height of 200.0 m. It takes 6.39 seconds for the ball to land, and it lands 6390 meters away. To determine the velocity upon landing, the vertical and horizontal components must be calculated separately, using constant acceleration formulas. The initial vertical velocity is zero, and the vertical displacement is 200 m, with gravitational acceleration at -9.81 m/s². By applying Pythagoras' theorem, the total velocity can be found by combining the horizontal and vertical velocities.
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A cannon ball is fired horizontally at a speed of 1000.0m/s from a height of 200.0m

a.) How long does it take for the ball to land?
6.39s
b.) Where does it land?
6390m
c.) What is its velocity when it lands?



I get the a and b part...but i just don't understand what am i supposed to do with c.)

Thx for helping =]
 
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You can use constatnt acceleration formulae to calculate the y velocity and the x velocity as it lands seperately.
Because the y and x axes are perpendicular to each other, you are able to use pythagoras' theorem to calculate the total velocity (the hypotenuse in this case).
 
oh...i am having trouble finding the vertical velocity too...
 
initial vertical velocity = 0ms-1, because it is only fired horizontally (no vertical components).
height = 200m
acceleration = -9.81ms-2

we can use the constant acceleration formulae: vf^2 = vi^2 + 2as --> Where s is displacement.
 
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