Please help me pass math i need to

Question

The height of a baseball after being hit by a batter is given by h(t) = -16t2 + 60t + 4 (where h(t) is the height and t is the time after hitting the ball). You are asked to find the time it takes the ball to hit the ground. After substituting zero for the height and solving using the quadratic formula, you determine that the time is approximately -0.07 and 3.82 seconds.

5. Do both of those answers make sense? ____________ Why?

6. What is the final solution to the problem? _________________

Answer 1

This is more a conceptual question, since the math portion of the problem is already done for you.

For part 5, It is asking you to think about the answers of -0.07 and 3.82 seconds. Does it make sense to you that the ball could have hit the ground in -0.07 seconds, a negative amount of time? You could think of it as though the ball hit the ground before the batter even hit the ball.

The question is also reminding you that the quadratic formula, can sometimes give answers that are nonsensical in a real-world context.

For part 6, it is asking you to conclude which of the answers is valid, both -0.07 and 3.82 seconds, or just one of them?

Answer 2

Can time be negative?