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In laboratory situations, a projectile’s range can be used to determine its spee

ID: 1962257 • Letter: I

Question

In laboratory situations, a projectile’s range can be used to determine its speed. To see how this is done, suppose a ball rolls off a horizontal table and lands 1.3 m out from the edge of the table.

If the tabletop is 95 cm above the floor, determine the time the ball is in the air.
Express your answer using two significant figures.
t=s

Determine the ball's speed as it left the table top.
Express your answer using two significant figures.
v=m/s

Explanation / Answer

Hello, The height of the table= 0.95 m The horizontal distance from the foot of the table to where the ball lands =2m The time in which the ball is in the air= sqrt(2h/g)=sqrt(2*0.95/9.8)= 0.4 s The range of the ball --> R= u * sqrt(2h/g)---> 1.3=u *sqrt(0.1939) where R =1.3m u=2.95243m/s (the ball's speed as it left the table top)

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