Explorers on a small airless planet used a spring gun to launch a ball bearing v

Question

Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward from the surface at a launch velocity of m/s. Because the acceleration of gravity at the planet's surface was , the explorers expected the ball bearing to reach a height of meters seconds later. The ball bearing reached its maximum height seconds after being launched. What was the value of ?

ANSWER: .

Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward from the surface at a launch velocity of /s. Because the acceleration of gravity at the planet's surface was , the explorers expected the ball bearing to reach a height of meters seconds later. The ball bearing reached its maximum height seconds after being launched. What was the value of ?

Explanation / Answer

First, take the derivative of the function to find velocity. When the ball reaches max height, it will stop, and fall. When it stops, the velocity, and thus the derivative, will be zero. To find gs, take the derivative, plug in for t, and solve for gs.

ds/dt = 15-gst =0

15-gs(20)=0

gs(20)=15

gs=15/20= 0.75 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

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