G)Nicholas throws a ball into the air with an initial upward velocity of 80 ft/s

Question

G)Nicholas throws a ball into the air with an initial upward velocity of 80 ft/see. As the ball moves upward, gravity slows it and then causes it to fall back to the ground. The path of the ball can be modeled by the equation h-16+80 What is a reasonable domain for the time the ball is in the air? Nicholas throws a ball into the air with an initial upward velocity of 80 ft/sec. As the ball moves upward, gravity slows it and then causes it to fall back to the ground. The path of the ball can be modeled by the equation h(t)-16r +80 What is a reasonable range for the height of the ball?

Explanation / Answer

5. h(t) = - 16 t^2 + 80 t = 0

t ( - 16t + 80 ) = 0

t= 0 or 5 sec

domain: (0 to 5 sec)

6. h will max for time at which dh/dt= 0

- 32 t + 80 = 0

t = 2.5 sec

h(2.5) = 100 ft

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.