Problema Solution

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) = ­16t2 + 300t. Find the height of the projectile when t = 1 second.

Answer provided by our tutors

The polynomial that describes the projectile's height is:

P(t) = - ­16t*2 + 300t

For t = 1 second we have:

P(1) = - 16*1^2 + 300*1

P(1) = 284 ft

The height of the projectile after 1 second is 284 feet.