Finding Height of Thrown Ball: Speed and Time

AI Thread Summary
To find the height of the first ball thrown straight upward, the total time in the air (1.54 seconds) can be used to calculate the maximum height using the equation for vertical motion. The height can be determined by first finding the initial velocity required for the ball to reach that height before descending. For the second ball thrown at a 30.0° angle, the same height can be achieved by calculating the necessary initial speed, factoring in the angle and gravitational acceleration (9.81 m/s²). The solution involves applying the kinematic equations for both vertical and horizontal motion. Ultimately, the problem requires determining the initial speed of the second ball to match the height of the first.
Leeee
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Homework Statement


A ball is thrown straight upward and returns to the thrower’s hand after 1.54 s in the air. A second ball is thrown at an angle of 30.0◦ with the horizontal.
The acceleration of gravity is 9.81 m/s2 .
At what speed must the second ball be thrown so that it reaches the same height as the one thrown vertically?
Answer in units of m/s.


Homework Equations


DeltaX=Vi(DeltaT)+1/2gDeltaT^2
Any others unknown


The Attempt at a Solution


I've tried approaching the problem, but I can't seem to get started, first off, I'm unaware of how I would get the height of the first ball.
After I would get the height of the first ball, I know what I would do.
 
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