Question

select all true statements about the situation.
a: the rocket is launched from a height less than 20 feet above the ground.
b: the rocket is launched from about 20 feet above the ground.
c: the rocket reaches its maximum height after about 3 seconds.
d: the rocket reaches its maximum height after about 160 seconds.
e: the maximum height of the rocket is about 160 feet.

Explanation:

• Option A: At \( t = 0 \) (launch time), the height from the graph is less than 20 feet (since the y - intercept is below 20 on the height axis), so this is true.
• Option B: At \( t = 0 \), the height is less than 20, not about 20, so this is false.
• Option C: The vertex (maximum point) of the parabola (height - time graph of a projectile) is at around \( t = 3 \) seconds, so this is true.
• Option D: The time to reach maximum height is around 3 seconds, not 160 seconds (160 is the height, not time), so this is false.
• Option E: The maximum height (y - coordinate of the vertex) is about 160 feet, so this is true.

Answer:

A. The rocket is launched from a height less than 20 feet above the ground.
C. The rocket reaches its maximum height after about 3 seconds.
E. The maximum height of the rocket is about 160 feet.