A rocket is launched into the air from the top of a building. Its height (in meters) is given by: h(t) =5t^2+30t+100, where t=time in seconds.

(a) What is the rocket's initial height?
(b) When does the rocket smash into the ground?
(c) What's the rocket's maximum height, and when does it reach that height?
(d) When does the rocket attain the height of 140 meters?

Question

A rocket is launched into the air from the top of a building. Its height (in meters) is given by: h(t) =5t^2+30t+100, where t=time in seconds.

(a) What is the rocket's initial height?
(b) When does the rocket smash into the ground?
(c) What's the rocket's maximum height, and when does it reach that height?
(d) When does the rocket attain the height of 140 meters?

mertsj · Answer

Well, if the rocket is launched from the top of a building, how high do you think it was to begin with?

anonymous · Answer

$$x(t) = \frac{1}{2} a t^2+v_o t + x_o$$
position equation for a particle in space

a- acceleration
vo- initial velocity
xo- initial position

in this case x_o would be your initial height

anonymous · Answer

Can you answer the question in the form of a, b, c, and d please?