Calculations involving freefall

Click For Summary
SUMMARY

The discussion focuses on calculating the initial velocity of a baseball thrown vertically upward by a pitcher, which returns to the same level after 4.2 seconds. The user initially misapplies the kinematic equation Vf = Vi + a(t) and incorrectly assumes the final velocity (Vf) is zero for the entire duration. The correct approach involves using the equation y = y_o + v_o t + (1/2) a t^2, recognizing that the time to reach the peak is half of the total time. The user ultimately finds the correct initial velocity and seeks advice on effective study strategies for an upcoming kinematics test.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with the equations of motion, particularly y = y_o + v_o t + (1/2) a t^2
  • Knowledge of gravitational acceleration, specifically -9.81 m/s²
  • Ability to manipulate algebraic equations to solve for unknown variables
NEXT STEPS
  • Study the derivation and application of the kinematic equations
  • Practice problems involving vertical motion and freefall
  • Learn about the concept of time of flight and its relation to projectile motion
  • Review effective study techniques for physics, including spaced repetition and problem-solving strategies
USEFUL FOR

Students preparing for physics exams, particularly those focusing on kinematics, as well as individuals seeking to strengthen their understanding of motion under gravity.

SPH4UJS
Messages
3
Reaction score
0

Homework Statement


A baseball pitcher throws a ball vertically upward and catches it at the same level 4.2s later

a) with what velocity did the pitcher throw the ball?

Homework Equations




The Attempt at a Solution



I put this into givens

t = 4.2 s
displacement = 0 m if the ball goes up and then comes back at the same level I figured it has a displacement of 0

acceleration = -9.81 m/s

Vf = 0 m/s since it goes up then reaches a climax and it was already thrown with an initial velocity that you are trying to find

so I decided to use the vf = vi + a(t)

so.. then I rearranged it so that it was

vf - ( a ) ( t ) = vi

which gave me

-(-9.81)(4.2) = vi

and then I got 41.2 but that's not the right answer :S so I am not sure if its just that I am using a wrong equation or that I have the wrong givens I don't know exactly what I am doing wrong please point me in the right direction.
 
Physics news on Phys.org
SPH4UJS said:

Homework Statement


A baseball pitcher throws a ball vertically upward and catches it at the same level 4.2s later

a) with what velocity did the pitcher throw the ball?

Homework Equations




The Attempt at a Solution



I put this into givens

t = 4.2 s
displacement = 0 m if the ball goes up and then comes back at the same level I figured it has a displacement of 0

acceleration = -9.81 m/s

Vf = 0 m/s since it goes up then reaches a climax and it was already thrown with an initial velocity that you are trying to find

so I decided to use the vf = vi + a(t)

so.. then I rearranged it so that it was

vf - ( a ) ( t ) = vi

which gave me

-(-9.81)(4.2) = vi

and then I got 41.2 but that's not the right answer :S so I am not sure if its just that I am using a wrong equation or that I have the wrong givens I don't know exactly what I am doing wrong please point me in the right direction.

With y representing the vertical direction you might want to take a look at

y = y_o + v_o t + \frac{1}{2} a t^2
 
Remember that your using vf as 0 which is at its climax. The time you used is for the total time (up and down) not just the time to get to the climax.
 
Last edited:
Alright I got the answer thank you very much. Also I have a test tommorow on this whole kinematics unit and so far I know ab out half what would be my best bet? Should I just keep doing questions until I know them all and asking for help if I can't figure it out myself? I really want to do well as I did so poorly on the quiz :S.
 
SPH4UJS said:
Alright I got the answer thank you very much. Also I have a test tommorow on this whole kinematics unit and so far I know ab out half what would be my best bet? Should I just keep doing questions until I know them all and asking for help if I can't figure it out myself? I really want to do well as I did so poorly on the quiz :S.

50 years of experience has taught me that the best bet is NOT to put off studying until the night before the exam!
 
AEM said:
50 years of experience has taught me that the best bet is NOT to put off studying until the night before the exam!

Yeah, it's not the best thing to do :s but I have no idea where my priorities are well..that and my time management skills I have put off doing physics homework until today :S. Hopefully all my questions can be answered on the forums by tomorrow. Its just I feel that I don't have the trained mindset for physics just yet, and actually not learning kinematics scares me for what's to come especially since I want to be an engineer. Btw thank you very much for your help as well as Imperitor.
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
10
Views
3K
Replies
20
Views
2K
Replies
11
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
1
Views
1K