Projectile and acceleration of gravity

AI Thread Summary
The discussion revolves around calculating the height of a baseball that is hit into the air, given its time in the air and the acceleration due to gravity. The relevant equation for the height of the ball is provided, but the initial velocity (vi) and angle (theta) are not specified, leading to confusion about how to proceed. A suggestion is made to break the problem into two parts: one for the ascent to the highest point and another for the descent back to the ground. Additionally, it is emphasized that the negative sign in the gravity term should not be duplicated in the equation. The conversation highlights the importance of understanding the time it takes for the ball to reach its peak height.
armoredfury16
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Homework Statement


During a baseball game, a batter hits a pop-
up to a fielder 86 m away.
The acceleration of gravity is 9.8 m/s2 .
If the ball remains in the air for 6.3 s, how
high does it rise? Answer in units of m.

Homework Equations


y=vi(sin theta)t-1/2g(t)^2

The Attempt at a Solution



I'm not even sure I went about this right...I was only able to fill in that equation this much:

y=vi (sin90)6.3-1/2(-9.8?)(6.3)^2

As you can see, I'm pretty clueless as to how to find the height of the ball at it's highest point...
 
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Hi armoredfury16,

armoredfury16 said:

Homework Statement


During a baseball game, a batter hits a pop-
up to a fielder 86 m away.
The acceleration of gravity is 9.8 m/s2 .
If the ball remains in the air for 6.3 s, how
high does it rise? Answer in units of m.

Homework Equations


y=vi(sin theta)t-1/2g(t)^2

The Attempt at a Solution



I'm not even sure I went about this right...I was only able to fill in that equation this much:

y=vi (sin90)6.3-1/2(-9.8?)(6.3)^2

Since the minus sign has been pulled out in front of the 1/2, you don't need it again with the 9.8.

If you want to use that equation, you might try writing it twice--once for the ball reaching the ground, and one for the ball reaching the highest point. What do you get? (In particular, how long does it take for the ball to reach the highest point?)
 
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