Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a quarterback throws an incomplete pass. the height of the football at …

Question

a quarterback throws an incomplete pass. the height of the football at time t is modeled by the equation h(t)=-16t² + 40t + 7. rounded to the nearest tenth, the solutions to the equation when h(t)=0 feet are -0.2 s and 2.7 s. which solution can be eliminated and why? the solution -0.2 s can be eliminated because time cannot be a negative value. the solution -0.2 s can be eliminated because the pass was not thrown backward. the solution 2.7 s can be eliminated because the pass was thrown backward. the solution 2.7 s can be eliminated because a ball cannot be in the air for that long due to gravity.

Explanation:

Brief Explanations

Time in real - world physical scenarios cannot be negative. The variable $t$ represents time in seconds for the height of the football. So the negative value of time ($- 0.2$s) is not physically meaningful.

Answer:

The solution -0.2 s can be eliminated because time cannot be a negative value.