A diver is on the 10m platform, preparing to perform a dive. the diver's height above the water, in metres, at time t can be modelled using the equation : h(t)= -4.9(t)^2 + 2t + 10.. Estimate the rate at which the diver's height above the water is changing as the diver enters the water. be sure to include at least 3 intervals from booth sides in your table. I think its instantaneous rate of change..

Question

A diver is on the 10m platform, preparing to perform a dive. the diver's height above the water, in metres, at time t can be modelled using the equation : h(t)= -4.9(t)^2 + 2t + 10.. Estimate the rate at which the diver's height above the water is changing as the diver enters the water. be sure to include at least 3 intervals from booth sides in your table.  I think its instantaneous rate of change..

anonymous · Answer

can you find t when h(t) =0?

anonymous · Answer

its 1.65s aprox

anonymous · Answer

ok so, maybe use intervals like t= 1.15...1.65 ; t=1.55...1.65 and t= 1.64...1.65 ?

anonymous · Answer

thank you!!

anonymous · Answer

(h(1.65)  - h(1.15) )/ (.5)
(h(1.65) - h(1.55) ) / (.1)
(h(1.65) - h(1.64) ) / (.01)

anonymous · Answer

I'm guessing that's what they want you to do...
then evidently, the same for the 'other side'
( h(2.15) - h(1.65) ) / (.5)
(h(1.75) - h(1.65) ) / (.1)
etc.

anonymous · Answer

yeahh, the answer is approx. 14m/s which is correct! thank you so much.. been stuck on this question for awhile:P