Question

A golf ball is hit from the ground with an initial speed of 192 feet per second. Assume the starting height of the ball is 0 feet. How long will it take the golf ball to hit the ground?

Answer 1

@ganeshie8 @Preetha @whpalmer4 @zzr0ck3r

Answer 2

@whpalmer4 stop bullying me. i didn't fish anything. i gave up on the last answer. ill return to it at the end.

Answer 3

and yes i plan on working this problem @whpalmer4

Answer 4

@whpalmer4 okay sorry lets get to work then

Answer 5

Great, let's go back to the previous problem and finish it.

http://openstudy.com/study#/updates/5333a5b5e4b0ce432ed06326

Answer 6

okay now this one! :) @whpalmer4

Answer 7

Now, is the problem statement above exactly correct? I ask because it doesn't specify the direction in which the golf ball is hit, and that makes a tremendous difference. Unless we know, or make an assumption, we can't do the problem.

Answer 8

Hitting the golf ball in a line drive will give a much different answer than if the ball goes straight up with the same initial velocity, for example.

Answer 9

yes i typed it exactly how it should be.

Answer 10

Well, as I said, without knowing the angle at which the ball leaves the ground, we can't work the problem meaningfully.

Answer 11

If you say the ball is going straight up (which will be the maximum value of the time for it to land), the formula is once again
\[h(t) = -\frac{1}{2}gt^2+v_0t + h_0\]with \(h_0=0, v_0=192,g = 32\)

Here rather than finding the vertex for max height, we want to find the two values of \(t\) such that \(h(t) = 0\). The difference between them is the time the ball spends in flight.

Answer 12

yeah i think I'm supposed to assume it goes straight up

Answer 13

Well, plug in the numbers and find the solutions by factoring, completing the square, quadratic formula, or whatever you like to do. Difference between them is the time the ball was in flight.