A drum major tosses a baton into the air and catches it and how long is the baton in the air is 22 feet
The heightis h of a baton function of time is t
h=−16t²+32t+6
dh/dt=d/dt(−16t²+32t+6)
=−32t+32
d²h/dt²=−32<0
For maximum height h, we have
dh/dt=0
−32t+32=0
t=1
Setting t=1 in the function of height, the maximum height of baton will be obtained at time t=1 sec
h(1)=−16(1)2+32(1)+6
=22 feet
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