Suppose you are experimenting with snowballs to determine your maximum throwing range (i.e. the largest horizontal distance from start to finish that a thrown snowball can travel). You throw the ball with the initial speed of 15 m/s at an angle of 40° above the horizontal. Assuming that the snowball leaves your hand at a height of 2 m and that the ground is flat, how far from you does the snowball hit the ground? You are on earth, so the acceleration due to gravity is -10 m/s2. You may ignore air resistance. Show your work.

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Chapter4: Motion In Two And Three Dimensions
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Suppose you are experimenting with snowballs to determine your maximum throwing range (i.e. the largest horizontal distance from start to finish that a thrown snowball can travel). You throw the ball with the initial speed of 15 m/s at an angle of 40° above the horizontal. Assuming that the snowball leaves your hand at a height of 2 m and that the ground is flat, how far from you does the snowball hit the ground? You are on earth, so the acceleration due to gravity is -10 m/s2. You may ignore air resistance. Show your work. 

Expert Solution
Step 1

Given that,

The initial speed of the ball is u=15m/s

the angle of projection from the horizontal is θ=40o

the initial height of the ball is h=2m

the acceleration due to gravity is g=-10m/s2

*negative sign indicates the acceleration is in the downward direction.

 

The horizontal component of the initial velocity is ux=ucosθ

The vertical component of the initial velocity is uy=usinθ

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