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Speed Ball

What is the speed of the ball just before it strikes the ground? Use energy methods and ignore air resistance.

A baseball is thrown from the roof of a building of height 21.6 m with an initial velocity of magnitude 11.7 m/s and directed at an angle of 57.5 degrees above the horizontal.What is the speed of the ball just before it strikes the ground? Use energy methods and ignore air resistance.
Take free fall acceleration to be = 9.80 m/s^2 .

As the baseball is thrown from the roof of a building of height 21.6 m with an initial velocity of magnitude 11.7 m/s , the base ball possesses kinetic energy (KE) as well as potential energy (PE)

Initial KE=(1/2)mu^2 =(1/2)m*11.7*11.7=68.445 m J

Initial PT =mgh=m*9.8*21.6= 211.68 m J

Initial total energy E= KE + PE

Initial total energy E= 68.445 m + 211.68 m =280.125 m J

Initial total energy E= 280.125 m J

When the ball strikes the ground, its final PE is zero and its final KE is (1/2)mV^2, where V is its velocity when it strikes the ground.

Final total energy E! = final KE + final PE

Final total energy E! =(1/2)mV^2 + zero

Ignoring air resistance, the total energy remains conserved

Final total energy E! = initial total energy E

(1/2)mV^2= 280.125 m J

cancelling 'm'

V^2 =2*280.125 =560.25

V = sq rt 560.25 =23.67 m/s

The speed of the ball just before it strikes the ground is 23.67 m/s

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Tags:ball, science, speed, speed ball, speed ball 2, speedball, speedball game, speedball guns, speedball ink, speedball rules, sports, video

3 Responses to “Speed Ball”

1. Bekki B Says:
   September 28th, 2010 at 11:58 am

   This is a question of time – how much time does the person have before hitting the water. Let's look at the distance formula – s = 1/2at^2

   That give you any ideas? If you solve for t then ylou have the time (under the influence of gravity near the surface of the earth) to fall 6.51m into the lake.

   Hope I have helped…

   Ron.

2. MiotaczKiszonki Says:
   December 4th, 2010 at 11:18 pm

3. recent posts - blip.tv (beta) Says:
   December 12th, 2010 at 8:44 am

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