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2 years ago

8

A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re

sistance.)
A: At what angle should the slingshot be aimed to achieve its maximum range?

B: If shot at the angle you calculated in Part A, how far will a water balloon travel horizontally?

C: For how long will the balloon be in the air?

1 answer:

Alex787 [66]2 years ago

8 0

The formulae for range and flight time for a given launch from ground level at angle θ are <span>
R=<span><span><span>v2</span>sin2θ</span>g</span></span>
and <span>
T=<span><span>2vsinθ</span>g</span></span>

these follow from the equations of motion and the parabolic/symmetric shape of flight without air resiatance you can see that you will max out on range at
<span><span>
θ=<span>45o</span></span></span>

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