Baseball: Rising and Falling speed

Click For Summary
SUMMARY

The discussion focuses on solving a physics problem involving the motion of a baseball thrown upward. The initial speed of the baseball was calculated to be 22 m/s using the equation Vf^2 = Vi^2 + 2ad, where Vf is the final velocity (8 m/s), a is the acceleration due to gravity (9.8 m/s²), and d is the height (28 m). The time taken to pass the window was determined to be 1.4 seconds using the equation t = (Vf - Vi) / a. Further calculations are needed to determine the maximum altitude and the time taken for the baseball to return to the street.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration due to gravity (9.8 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with projectile motion concepts
NEXT STEPS
  • Calculate the maximum altitude using the formula d = Vi(t) + (0.5)(a)(t)^2
  • Determine the total time of flight for the baseball until it reaches the street again
  • Explore the concept of projectile motion in greater detail
  • Review the effects of air resistance on projectile motion
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators looking for problem-solving strategies in motion-related topics.

Trizz
Messages
41
Reaction score
0

Homework Statement



A baseball is seen to pass upward by a window 28 m above the street with a vertical speed of 8 m/s. The ball was thrown from the street.

(a) What was its initial speed?
(b) What altitude does it reach?
(c) How long after it was thrown did it pass the window?
(d) After how many more seconds does it reach the street again?

Homework Equations



Vf = Vi + at
Vf^2 = Vi^2 + 2ad
d = Vi(t) + (.5)(a)(t)^2
t = Vf/a or Vf-Vi/a



The Attempt at a Solution



So far I've only attempted a and c because I don't know how to go aout solving b or d.

For a, I used the Vf^2 formula and changed it to equal Vi^2. So I had:

2(a)(d) - Vf^2 = Vi^2 and with that I got 2(9.8)(28) - (8)^2 = Vi^2 and got 22

I believe the problem may be with acceleration. Is it 9.8 when thrown uo, or only during free fall?


For c, I took the answer i got from a, Vi = 22, and plugged it into the time equation. I did 8 - 22 / 9.8 to get 1.4 seconds.
 
Physics news on Phys.org
I'm not sure if my answers for a and c are correct. If someone could help me with b and d, I'd really appreciate it.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
3
Views
4K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 34 ·
2
Replies
34
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K