Question

the graph shows the height, in feet, of a projectile launched, after t seconds. which statement is true?
a the projectile covers a maximum distance of 48 feet.
b the projectile attains its maximum height after 64 seconds.
c the projectile has an initial height of 3 feet.
d the projectile reaches the same height as when it was launched after 2 seconds.

Explanation:

Step1: Analyze option A

The graph shows height vs time, not distance. So option A is wrong.

Step2: Analyze option B

The maximum height occurs at \(x = 48\) (time), not \(x = 64\). So option B is wrong.

Step3: Analyze option C

At \(x = 0\) (initial time), the height \(y=3\). So the initial height is 3 feet. Option C is correct.

Step4: Analyze option D

At \(x = 0\) (launch time) height is 3, at \(x = 2\) height is not 3. So option D is wrong.

Answer:

C. The projectile has an initial height of 3 feet.