Finding Initial Velocity of a Ball Using Time and Distance

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Homework Help Overview

The problem involves determining the initial velocity of a ball thrown into the air, based on the time it takes to pass a window on its ascent and descent. The context is kinematics, specifically the motion of projectiles under the influence of gravity.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the total flight time of the ball and its symmetrical motion. There are attempts to break down the timing of the ascent and descent, and questions about how to relate these times to the initial velocity.

Discussion Status

The discussion is ongoing, with some participants providing hints and guidance regarding the symmetry of the motion and the calculation of total time. Multiple interpretations of the problem are being explored, particularly regarding the relationship between time and velocity.

Contextual Notes

Participants are considering the effects of ignoring air resistance and the implications of the ball reaching maximum height. There is an emphasis on understanding the timing of the ball's motion without providing a direct solution.

thegreatone09
A ball is thrown up into the air and it passes a certain window 0.3s after being released. It passes the same window on its way back down 1.50s later. What was the intial velocity of the ball?
Any help will be appreciated.
 
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Ask yourself what the total flight time of the ball was.
 
Here's a simple hint I can give: if resistance is ignored, then the upward motion is 'symmetrical' to the downward motion.
 
total time

If you haven't got it by now the total time is 0.3 +1.5 + 0.3 = 2.1 s. Since the velocity is zero at it's maximum height you can divide the time in half to find how long it takes the ball to fall from its maximum height to the ground. Then use that time to calculate distance and then final velocity.
 

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