A golf ball is hit from the ground with an initial velocity of 208 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?

13 secs

21 secs

42 secs

6 secs

Question

A golf ball is hit from the ground with an initial velocity of 208 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?

 13 secs

 21 secs

 42 secs

 6 secs

abb0t · Answer

Do you know the formula to use for this? There $is$ a formula.

ybarrap · Answer

If you know that acceleration is change in velocity over change in time, then integration gives that acceleration time time is velocity. Solve for time. You're done!

abb0t · Answer

That's a start, but I don't think you need calculus for this problem.

jdoe0001 · Answer

$\bf \textit{initial velocity } \implies \large h = -16t^2+v_ot+h_o\
-16t^2 = \textit{acceleration of object due to gravity, in English units}\
h = \textit{height of object after "t" seconds}\
v_o = \textit{initial velocity of launch}\
h_o = \textit{initial height of object when launched}$

jenniferjuice · Answer

woah wait what...?

mathstudent55 · Answer

Don't you need to know the direction of the original velocity of the ball too?

jenniferjuice · Answer

i just need to know how long it will take for the ball to hit the ground.

jdoe0001 · Answer

so, how are you supposed to get it without the "initial velocity" formula?

jdoe0001 · Answer

Ms Cleo got busted for phony advertising with a fake jamaican accent, so she can't help you there

mathstudent55 · Answer

Different initial directions affect the path of the ball. If the ball is hit horizontally, it will always be on the ground.
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