Is there an equation to tell how high a baseball flies when hit?

Question

I am looking to see if there is a mathematical equation to tell how high a baseball travels into the air when hit. I am sure that it depends on the angle of the ball (where is lands) in relation to home plate and obviously how long it is in the air. What about an equation for a ball that goes straight up in the air? If someone throws a ball straight up in the air? Any insight would be appreciated from. Thank you.

Answer 1

Simple parabolic path formula

a hit ball is given a velocity v at and angle theta.

Assuming no air resistance the balla travels through the air along its horizontal vector un abstructed, while acted on by gravity in the vertical direction.

the equation

d=vt + 1/2gt^2 can be solved for d which will be the total vertical distance at time t, where t is the time at which the ball is the highest, lets say about 1/2 of the total time, g is the gravitational constant and v in the velocity in the vertical direction

Answer 2

Projectile motions in physics i imagine 11 or 12 grade should be able to respond to the questions. The time or direction that the ball takes relies upon on the kick perspective, momentum transferred from leg to the ball and likewise the mass of the ball. The ability equations would no longer be so user-friendly as they sound. With lot of assumptions this can nicely be tracked down.

Answer 3

If you need more accuracy put into the equation the effect of air (friction).
the last answer fail in the value of the vertical component of velocity
d=v*sin(theta)*t + 1/2*g*t^2-k*v*sin(theta)

were k is the friction constant between the air and ball.
k depends of the ball's material, dimensions, altitude over sea level, temperature and others.