Calculating Distance and Height of a Tossed Ball in 2D Motion

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SUMMARY

The discussion focuses on calculating the horizontal distance and height of a ball tossed from a building using 2D motion equations. The ball is thrown with an initial velocity of 8 m/s at a 20-degree angle below the horizontal, striking the ground after 3 seconds. The horizontal distance (Xf) is calculated as 22.5 meters using the formula Xf = Xi + Vxi*t, while the height (Yi) from which the ball was thrown is determined to be 36 meters using the equation Yi = Vyi - 1/2g*t^2. The calculations are confirmed to be correct.

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  • Basic algebra for solving equations
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A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8m/s at an angle of 20 below the horizontal. It strikes the ground 3.00s later. The horizontal distance at which the balls strike the ground from the base of the building and the height from which the ball was thrown are respectively given by:

Xf = Xi + Vxi*t

Change of X = Vxi*T

Xf = 8cos(20)(3)

Xf = 22.5 m

and Yi

Y = Vyi - 1/2g*t^2

0 = Yi + 8sin(20) - 1/2(9.81)(3)^2

Yi= 36m

are my answers right?
 
Last edited:
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help! =D
 
Process looks good, but next time post in the HW section.
 

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