A toy rocket is launched upward from ground level with an initial velocity of 42 meters per second. Its height is a function of time, given by h=-4.9^2+42t, where h represents the height in meters and t represents the time in seconds.

a. The maximum height reached by the rocket is?
b. The minimum height reached by the rocket is?

Question

A toy rocket is launched upward from ground level with an initial velocity of 42 meters per second. Its height is a function of time, given by h=-4.9^2+42t, where h represents the height in meters and t represents the time in seconds.

a. The maximum height reached by the rocket is?
b. The minimum height reached by the rocket is?

anonymous · Answer

the second coordinate of the vertex
the first coordinate is $-\frac{b}{2a}$ which in your case is $$-\frac{42}{2\times -4.9}$$

anonymous · Answer

i get 
$$\frac{30}{7}$$ as the first coordinate
not so pretty but you can plug it in to get the second coordinate ,which is your answer

anonymous · Answer

the minimum is zero, when it hits the ground doh

anonymous · Answer

how do I figure out the maximum?

danjs · Answer

oh same asker too. i see what you did there