I NEED YOUR HELP ASAP!! Grade 11 applied math question in quadratics!!!!

Question

Question:

a diver is preparing for the 2024 Olympics by practicing her dives from a platform. The perfect dive can be represented in the format of:

h(t) = -6.7t^2 + 5t + 7.5

Where (h) represents the height in meters and (t) represents time in seconds.

A)     how tall is the platform that she is driving from? Explain how you know.

B)     Using the quadratic formula determine how long it takes for her to land in the water (to two decimal places). Explain how you know this answer is true.

Answer 1

the constant term is the initial height = 7.5 meters

h(t) =-6.7t^2 +5t + 7.5 = 0 use the quadratic formula

t= -5/-13.4 + (1/6.7)sqr(25 +24(7.5)) = about 2.88 seconds to hit the water

height is = h(t) = -6.7t^2 +5t +7.5. set it = 0 to find when it hits the water. water level =0 at time t =0 h(t)=-6.7t^2 +5t+7.5 = -6.7(0)^2 + 5(0) + 7.5 = 0 + 0 + 7.5 = 7.5

5 meters per second = the initial velocity, 7.5 = initial height. -6.7t^2 is supposed to be the effect of gravity. but it's usually -4.9^2 when measured in meters = -4.9 meters per second per second = negative acceleration due to gravity. -6.7t^2 doesn't seem realistic. Unless there's a down wind, a suction pulling people downward for some reason. Maybe one team cheating somewhere, to throw divers off.