Question

A student estimated based on the video that the ball left my hand 1.65 meters off the ground, and after 0.58 seconds the ball reached the maximum height of 3.26 meters. Use this information to find an equation of the form h = a ( t − t 1 ) 2 + h 1 for the height of the ball, in meters, after t seconds. h =

Answer 1

9514 1404 393

Answer:

h = -4.79(t -0.58)^2 +3.26

Explanation:

The coordinates (t1, h1) are the time and height at the maximum. Then 'a' can be found from ...

h = a(t -t1)^2 +h1

1.65 = a(0 -0.58)^2 +3.26

-1.61 = 0.3364a . . . . . subtract 3.26

-4.786 = a . . . . . . . divide by the coefficient of a

The equation is ...

h = -4.79(t -0.58)^2 +3.26