Question

A softball is thrown from the top of a 30ft building. The height of the ball is modeled by

Answer 1

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

$0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0$

Factor:

$-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2$

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!