Homework Problem related to acceleration due to gravity and force.

Click For Summary
SUMMARY

The discussion centers on calculating the initial speed of a 10.0-g ball thrown straight down from a height of 2.0 meters, which strikes the floor at a speed of 7.5 m/s. The relevant equation used is vf² = vi² + 2gd, where vf represents the final velocity, vi the initial velocity, g the acceleration due to gravity (9.8 m/s²), and d the displacement (2.0 m). The correct application of this formula allows for the determination of the initial speed of the ball.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration due to gravity (9.8 m/s²)
  • Familiarity with the concept of displacement in motion
  • Basic algebra for solving equations
NEXT STEPS
  • Review kinematic equations for uniformly accelerated motion
  • Practice solving problems involving free fall and initial velocity
  • Explore the effects of air resistance on falling objects
  • Learn about energy conservation in projectile motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion and forces in a gravitational field.

Fanatic
Messages
1
Reaction score
0

Homework Statement



Bill throws a 10.0-g ball straight down from a height of 2.0m. The ball strikes the floor at a speed of 7.5m/s. What was the initial speed of the ball.

Homework Equations



Can you provide the proper formula and solution to solve this problem?


The Attempt at a Solution


I tried using the following formula, but realized it was probably wrong.
vf2= vi2 +2gd
Vf and vi are to the second power
g= gravity acceleration 9.8
d- displacement
 
Physics news on Phys.org
Fanatic said:
I tried using the following formula, but realized it was probably wrong.
vf2= vi2 +2gd
That's an excellent way to solve this problem. Give it a shot. (Careful with signs.)
 

Similar threads

Calculate the acceleration due to gravity
  • · Replies 2 ·
Replies
2
Views
2K
Oblique soccer shot calculation task
  • · Replies 38 ·
2
Replies
38
Views
4K
Power To Accelerate 1000kg Elevator Cab Upward
  • · Replies 31 ·
2
Replies
31
Views
3K
When is the acceleration due to gravity negative and when is it positive?
  • · Replies 13 ·
Replies
13
Views
6K
Finding constant acceleration without time
  • · Replies 3 ·
Replies
3
Views
15K
Homework help: Work and Energy, Free fall
  • · Replies 6 ·
Replies
6
Views
2K
Finding Acceleration Due To Gravity
  • · Replies 12 ·
Replies
12
Views
2K
Acceleration of ball due to gravity
  • · Replies 7 ·
Replies
7
Views
3K
Need help with this question regarding kinematics.
  • · Replies 6 ·
Replies
6
Views
2K
Kinematics: find maximum height
  • · Replies 2 ·
Replies
2
Views
5K