Solve the problem.
-A projectile is fired upward from the ground with an initial velocity of 300 feet per second. Neglecting air resistance, the height of the projectile at any time t can be described by the polynomial function $P ( t ) = - 16 t ^ { 2 } + 300 t$ . Find the height of the projectile at t = 8 seconds.
A)2400 ft
B)1376 ft
C)2272 ft
D)1476 ft

Question

Quizplus · Accepted Answer

To find the height of the projectile at $t = 8$ seconds, substitute $t = 8$ into the polynomial function $P(t) = -16t^2 + 300t$. This gives $P(8) = -16(8)^2 + 300(8) = -16(64) + 2400 = -1024 + 2400 = 1376$ feet.

Solve the Problem P(t)=−16t2+300tP ( t ) = - 16 t ^ { 2 } + 300 tP(t)=−16t2+300t

Solve the Problem $P ( t ) = - 16 t ^ { 2 } + 300 t$