Finding Height of Thrown Ball: Speed and Time

In summary, the question asks at what speed a ball thrown at 30.0 degrees with the horizontal must be thrown in order to reach the same height as a ball thrown vertically. The acceleration of gravity is given as 9.81 m/s2 and the first ball returns to the thrower's hand after 1.54 seconds. The relevant equation for solving this problem is DeltaX=Vi(DeltaT)+1/2gDeltaT^2, but the height of the first ball is unknown. The problem was later solved by the individual.
  • #1
Leeee
5
0

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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  • #2
Solved. Nevermind.
 

FAQ: Finding Height of Thrown Ball: Speed and Time

What is the formula for finding the height of a thrown ball?

The formula for finding the height of a thrown ball is h = v2sin2θ / 2g, where h is the height, v is the initial velocity, θ is the angle of elevation, and g is the acceleration due to gravity.

How does the speed of the ball affect its height?

The speed of the ball directly affects its height. The higher the initial velocity, the higher the ball will go before it starts to fall back down. This is because the ball has more kinetic energy, which is converted into potential energy as it reaches its maximum height.

What is the relationship between the time of flight and the height of the ball?

The time of flight and the height of the ball have a direct relationship. As the time of flight increases, the height of the ball also increases. This is because the longer the ball stays in the air, the farther it travels before falling back down.

Can the height of the ball be determined without knowing the speed and time?

No, the height of the ball cannot be determined without knowing the speed and time. The formula for finding height requires both the initial velocity and the time of flight. Without either of these variables, the height cannot be accurately calculated.

How does air resistance affect the height of a thrown ball?

Air resistance can affect the height of a thrown ball by slowing it down and reducing its initial velocity. This means that the ball will not reach the same height as it would without air resistance. However, for most everyday situations, air resistance has a minimal effect on the height of a thrown ball.

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