I really have no idea on this one

Question

An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16r^2 models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same heigh 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.

Thanks!

Answer 1

If you were to graph this making the "x" coordinate the "t" values and the "y" coordinate the h(t) you will see that at time t=0 the height, h(t), would be 15. This makes #4 true. The domain is the "x", or "t", value and it is time and time can only be positive or t≥0. This makes #1 true. At t=1, h(t)=59 and at t=2, h(t)=71, so #2 is false. The orange hits the ground when h(t)=0. At t=3, h(t)=51, so #3 is false. At t=10, h(t)=-985 which means the orange would be below ground level, so #5 is true.

Summary: #1---True

#2---False

#3---False

#4---True

#5---True

Hope this helps!