A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height, h (in feet), from the ground is modeled by h = negative 16 t squared + 52 t, where t is measured in seconds. How much time does the ball take to reach its highest point? What is its height at this point? a. 1.625 sec; 84.5 ft
b. 1.625 sec; 42.25
c. 3.25 sec; 42.25 ft
d. 3.25 sec; 126.75 ft.

provide more details to solve it

step-by-step explanation:

divide the numbers

step-by-step explanation:

the answer would be c

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough