Ball thrown in the air, calculate time to hit the ground.

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SUMMARY

The discussion centers on calculating the time it takes for a ball thrown from a height of 12 meters (9.50 meters building height plus 2.5 meters release height) with an initial velocity of 25 m/s to hit the ground. The problem involves applying kinematic equations to determine the time of flight. The relevant equation is derived from the motion of the ball under the influence of gravity, specifically using the formula: \( t = \frac{v_i + \sqrt{v_i^2 + 2gh}}{g} \), where \( v_i \) is the initial velocity, \( g \) is the acceleration due to gravity, and \( h \) is the height from which the ball is thrown.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (approximately 9.81 m/s²)
  • Familiarity with initial velocity and its impact on projectile motion
  • Basic algebra for solving quadratic equations
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to derive time of flight for various projectile scenarios
  • Explore the effects of initial velocity on the trajectory of thrown objects
  • Practice solving similar problems involving height and velocity
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and kinematics.

T.J.12
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Hi everyone! First post here, seems like a great community. Anyways, I'm having a bit of trouble.

(I missed a bit of classes due to illness, and I'm a bit behind.)

Here's the problem:

You stand on top of a building 9.50 meters high, and throw a ball almost straight up. The ball is released with an initial velocity of 25m/s [up]. If you release the ball from 2.5m above the top of the building, find the time it takes for the ball to land on the ground.

Thanks in advance!
 
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T.J.12 said:
Hi everyone! First post here, seems like a great community. Anyways, I'm having a bit of trouble.

(I missed a bit of classes due to illness, and I'm a bit behind.)

Here's the problem:

You stand on top of a building 9.50 meters high, and throw a ball almost straight up. The ball is released with an initial velocity of 25m/s [up]. If you release the ball from 2.5m above the top of the building, find the time it takes for the ball to land on the ground.

Thanks in advance!

Welcome to PF.

What have you tried so far?
 

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