PSAT Math Multiple-Choice Question 57: Answer and Explanation

Question: 57

In his physics class, Yigit determined that the height in feet (h) of a projectile t seconds after being launched can be expressed using the function h(t) = -5t² + 20t + 45. Which of the following values of t would be most helpful in finding the initial height of the projectile?

• A. t = 0
• B. t = 1
• C. t = 2
• D. t = 3

Correct Answer: A

Explanation:

A

The question asks what value of t to use in the given equation to find the initial height of a projectile. The initial height of the projectile corresponds to the moment that it is launched before it ever moves, with t equal to the seconds since its launch. At that initial point, no time has passed, so t = 0. The correct answer is (A).