Estimating Rates of Change
I need help with the question: a diver is on the 10 m platform; the diver's height above the water, in metres, at time t can be modelled using the equation h(t) = 10 + 2t -4.9t2. Estimate the rate at which the diver's height above the water is changing as the diver enters the water.
I know that the time that the diver hits the water is around 1.65 seconds and I tried to find the average rate of change between 0 seconds and 1.65 seconds, but the rate that I calculated was around -6 m/s.
I know that the correct answer is about 14 m/s but I'm not sure how to solve for this answer.
Any suggestions would be appreciated, please and thank you!
Re: Estimating Rates of Change
What kind of techniques are taughlt in your course? I'm guessing it's pre-calculus because an easy way would be to use calculus.
In this kind of situation its a good idea that we know what you are being taught since other solutions may confuse or get you into trouble with your marks.