An object is launched into the air. the projectile motion of the object can be modeled using the function h(t) = –16t2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. what is true about the projectile motion of this object? check all that apply.
the initial height is 5 feet.
the initial velocity of the object is –72 feet/second.
the object will hit the ground after approximately 4.57 seconds.
after 3 seconds, the object is 173 feet high.
at t = 0, h(t) = 0.

The initial height is 5 feet.

The object will hit the ground after approximately 4.57 seconds.

Step-by-step explanation:

An object is launched into the air. The projectile motion of the object can be modeled using the function h(t) = -16t^2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds

General equation is

V_0 is the initial velocity

h_0 is the initial height

From the given equation , the initial height is 5 feet

Initial velocity is +72 feet / sec

When the onbject hits the ground, the height becomes 0

So we plug in 0 for h(t) and solve for t

USe quadratic formula to solve for t

a=-16, b= 72, c= 5

t= -0.06  and t= 4.568

The object will hit the ground after approximately 4.57 seconds.

To find out the height after 3 seconds, plug in 3 for t

At t=0 , h(0) = 5

step-by-step explanation: