What is the Initial Speed and Time for a Baseball to Clear a Wall in a Home Run?

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The discussion focuses on calculating the initial speed and time for a baseball to clear a wall during a home run. The wall is 20.9 meters high and located 131.0 meters from home plate, with the ball hit at a 35° angle from a height of 0.9 meters. Initial calculations by a participant yielded an incorrect time of 8.5 seconds, which hindered further progress. After collaboration, the correct initial speed was determined to be 41.7 m/s, with the ball taking 3.81 seconds to reach the wall. The final velocity components were calculated as 34.2 m/s for the x-component and -13.4 m/s for the y-component, resulting in a total speed of 36.7 m/s.
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Homework Statement



A ball player hits a home run, and the baseball just clears a wall 20.9 m high located 131.0 m from home plate. The ball is hit an an angle of 35° to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 0.9 m above the ground.
(a) What is the initial speed?
m/s
(b) How much time does it take for the ball to reach the wall?
s
(c) Find the components of the velocity and the speed of the ball when it reaches the wall
vy,f = m/s
vx,f = m/s
vf = m/s

Homework Equations


vi(intial velocity)

The Attempt at a Solution


I got 8.5 seconds for the time but that's apparently not right and it's prohibiting me from further progress.
 
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Hi Debate123! Welcome to PF! :wink:

Show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 
Dx+Vxi*t
DX=Vx*CoS35.t
!3!+Vxcos35.tw
Vi+131?Cos35.tw

20.9+-4.9t^2+sin35/Cos35+.09
20.9=-4.9tw2+65.1385/.8191+.09
20.9=-4.9tw^2+91.727+0.9
20.9-92.627=tw^2
tw=sqrt71.727
tw=8.46(deemed wrong by my webassign)
 
Debate123 said:
20.9=-4.9tw2+65.1385/.8191+.09

i think you may have entered 113 instead of 131 :wink:
 
I still don't know to fix my problem entirely, there's 5 parts and I can't even get 1
 
Can someone show me the time so I can finish the problem myself please?
 
NVM figured it put by myself
a) Initial ball speed: 41.7 m/s
b) Time for ball to reach wall: 3.81 s
c) x velocity-component: 34.2 m/s
y velocity-component: -13.4 m/s
Speed of the ball: 36.7 m/s
 
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