Atrebuchet launches a projectile from a hilltop 30 feet above ground level on a parabolic arc at a velocity of 40 feet per second. the equation h = −16t2 + 40t + 30 models the projectile's h height at t seconds. how long will it take for the projectile to hit its target on the ground? (to the nearest tenth of a second)

3.1 seconds

Step-by-step explanation:

The time it will hit the ground is when the height is equal to 0. So we plug in 0 in h and solve the quadratic equation for t.

We will use the quadratic formula [ ] to solve this.

a is -16

b is 40 , and

c is 30.

plugging these into the formula we get:

Since time cannot be negative, we take t = 3.1 as the value

So it will take 3.1 seconds to hit the ground (target)