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

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Homework Help Overview

The problem involves a baseball hit for a home run, requiring calculations related to projectile motion. The baseball must clear a wall of a specified height at a certain distance from the starting point, with the initial angle of projection and height above ground provided.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss calculations related to time and initial speed, with some expressing confusion over their results. There are attempts to clarify the equations used and the values substituted, as well as questions about potential errors in the setup.

Discussion Status

The discussion includes various attempts to solve the problem, with some participants offering to help by reviewing calculations. There is an indication of progress as one participant claims to have figured out the initial speed and time, although the correctness of these values is not confirmed by others.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may impose specific methods or formats for presenting solutions. There is mention of a potential error in the distance value used in calculations, which could affect the outcome.

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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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