A diver completes a competition dive from a 10 meter platform. The equation h(t)=−4.9t2+8t+10 gives the height (in meters) of the diver above the water t seconds after diving from the platform.

a) Find both solutions to h(t)=10and interpret your results in context. Show your work.(b) Find the rate of change of this function on 0≤t≤2and 2≤t≤3Show your work. Interpret your result in the context of the problem. Use units in your answers

Question

A diver completes a competition dive from a 10 meter platform. The equation h(t)=−4.9t2+8t+10 gives the height (in meters) of the diver above the water t seconds after diving from the platform. 

a) Find both solutions to h(t)=10and interpret your results in context.  Show your work.(b) Find the rate of change of this function on 0≤t≤2and 2≤t≤3Show your work.  Interpret your result in the context of the problem. Use units in your answers