# math

posted by .

A baseball is thrown straight up from the rooftop 192 feet high. The function s(t)=16t^2+-64t+192 describes the ball's height above the ground,s(t), in feet, t seconds after it was thrown. How long will it take for the ball to hit the ground? Explain

• math -

Your equation does not make sense, things would be falling upwards

I think it should be
s(t) = -16t^2 + 64t + 192
we want 0 = -16t^2 + 64t + 192
t^2 - t - 12 = 0
(t-4)(t+3) = 0
t = 4 or t = -3 , but t > 0

so t = 4 seconds

## Similar Questions

1. ### Math

Please help if you can. If a ball is shot projected straight upward at a rate of 64 feet per second from a rooftop, 80 feet above ground level, the height of feet above ground is modeled by the equation, h(t)=-16t^2+64t+80 Find h(0), …
2. ### Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time …
3. ### Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time …
4. ### math

A person standing on the roof of a building throws a ball directly upward. The ball misses the rooftop on its way down and eventually strikes the ground. The function s(t) = −16t2 + 64t + 80 describes the ballâ€™s height above …
5. ### math

a baseball is hit with an initial velocity of 75 feet per second from the height of 3 feet. The function h(t)=-16t squared + 75t + 3 models the path of the baseball where t represents the time in seconds that the ball has been traveling …
6. ### math

a ball is thrown upward at 64 feet per second from the top of an 80 feet high building. The height of the ball can be modeled by S(t) = -16t^2 + 64t + 80(feet), where t is the number of seconds after the ball is thrown. describe the …
7. ### math

An object that is falling or vertically projected into the air has it height, in feet, above the ground given by the formula below, where s is the height in feet, Vo is the original velocity of the object, in feet per second, t is …
8. ### College Algebra

Flight of a Ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball can be modeled by S(t)=100 + 96t -16t^2 feet, where t is the number of seconds after the ball …
9. ### Math

If you are standing near the edge of the top of a 200 feet building and throw a ball vertically upward it will be modeled by the function s(t)=-16t^2+64t+200 where s(t) is the ball's height above ground in feet and t is seconds after …
10. ### algebra

A ball is thrown straight up from a rooftop 9696 feet high. The formula below describes the​ ball's height above the​ ground, h, in​ feet, t seconds after it was thrown. The ball misses the rooftop on its way down. …

More Similar Questions