A Rocket Is Launched Vertically Upward with a Speed $v _ { 0 }$

question 20

Multiple Choice

A rocket is launched vertically upward with a speed $v _ { 0 }$ . Take the upward direction as positive and let the mass be m. Assume that the only force acting on the rocket is gravity, which is inversely proportional to the square of the distance from the center of the earth. Let $y ( t )$ be the distance from the center of the earth at time, $t$ . the correct differential equation for the position of the rocket is

• A) \(m \frac { d y } { d t } = v _ { 0 } - k / y ^ { 2 }\)
• B) \(m \frac { d ^ { 2 } y } { d t ^ { 2 } } = - k / y ^ { 2 }\)
• C) \(\frac { d y } { d t } = v _ { 0 } - k / y ^ { 2 }\)
• D) \(\frac { d ^ { 2 } y } { d t ^ { 2 } } = - k / y ^ { 2 }\)
• E) none of the above

---

Definitions:

Magnuson-Moss Warranty Act

A U.S. federal law established to protect consumers from deceptive warranty practices, ensuring warranties on consumer products are clear and fair.

Express Warranty

A statement by a seller about a product's condition or quality that forms part of the contractual obligation.

International Customs

Established practices and rules that govern the exchange of goods and services across national borders.

Treaties

Formal agreements between two or more sovereign states, governed by international law, regarding various matters such as trade, peace, and mutual aid.