Can someone help solve this? If h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t^2+11t+1 find the height of the object at the time when the speed is zero.

Question

Can someone help solve this? If h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t^2+11t+1  find the height of the object at the time when the speed is zero.

anonymous · Answer

1. Take the derivative of the height function to get a speed fuction. V(t)=-32t+11
2. Set the derivative equation to 0. and solve for t.
3. Using T=.34375 seconds.
4. Plug T into the height equation to get H=2.89 units.

Assuming you're in a calculus class and if I set this up correctly that's how you solve this.

anonymous · Answer

Yes, Thank you. I see what I did wrong.

anonymous · Answer

no best response?