SOLUTION: "An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-1

Question 979611: "An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-16t^2+36t+10. How long will it take for the object to reach its maximum height? what is the maximum height?
a) the t-coordinate of the vertex is given by t=-b/2a= _______
b). the object reaches it maximum height ___ seconds after launch.
a). h(1.125)=_____
b) the maximum height of the object is ____ meters.
any help with this would be appreciated thank you so much
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-16t^2+36t+10. How long will it take for the object to reach its maximum height? what is the maximum height?
============================
h(t)=-16t^2+36t+10 is used on Earth for the height in feet (not meters).
===================
a) the t-coordinate of the vertex is given by t=-b/2a= _
It's -b/2a. Sub for b and a from the quadratic.
===================
b). the object reaches it maximum height ___ seconds after launch.
At the vertex, at t = -b/2a.
===============================
a). h(1.125)=_____
Sub 1.125 for t in h(t)=-16t^2+36t+10
-------------------
b) the maximum height of the object is ____ meters.
It's not clear if it's meters or feet, but look at b above (the 1st b).

RELATED QUESTIONS
An object is launched with initial velocity of 22.5 meters per second (m/s) from a... (answered by nerdybill)

An object is launched at 17.2 m/s from a 25-meter tall platform. The equation for the... (answered by ikleyn,Alan3354)

Please help me with this problem: An object is launched at 19.6 meters per second from a... (answered by Alan3354,addingup)

suppose a projectile is launched into the air from a platform. The formula... (answered by stanbon)

A ball is launched at 19.6 meters per second from a 58.8 meter tall platform. The... (answered by mananth)

An object is propelled vertically upward with an initial velocity of 20 meters per... (answered by stanbon)

An object is propelled vertically upward with an initial velocity of 20 meters per... (answered by nerdybill)

An object is launched from a platform above the ground, the objects path is modeled with... (answered by MathLover1)

The height about the ground of an object t seconds after it is launched vertically upward (answered by Alan3354)