candancejc4395 candancejc4395
  • 04-07-2019
  • Physics
contestada

A juggler tosses balls vertically to height H. To what height must they be tossed if they are to spend twice as much time in the air?

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Blacklash
Blacklash Blacklash
  • 08-07-2019

Answer:

The ball must be tossed to a height of 4 times the initial height H

Explanation:

We have equation of motion S = ut + 0.5at²

A juggler tosses balls vertically to height H.

That is

      H = 0 x t + 0.5 x a x t²

      H = 0.5at²

To what height must they be tossed if they are to spend twice as much time in the air.

      H' = 0 x 2t + 0.5 x a x (2t)²

      H' = 2at² = 4 H

So the ball must be tossed to a height of 4 times the initial height H

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