If h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t2+11t+1 find the height of the object at the time when the speed is zero.

Question

If h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t2+11t+1  find the height of the object at the time when the speed is zero.

campbell_st · Answer

ok...you need to differentiate for the velocity

do you know how to do that..?

anonymous · Answer

distance/time ??

campbell_st · Answer

ok.... so can you find the 1st derivative...

anonymous · Answer

-32t+11 ?

campbell_st · Answer

if not there is an alternate method

campbell_st · Answer

ok... thats good

so you need to solve 

-32t + 11 = 0

this is where the velocity is zero.... 

then then you have the value of t

substitute it into the original equation to get the height..( which will be maximum height)

hope this helps...

anonymous · Answer

okay thank you!!