A toy rocket is launched vertically from ground level at time [tex]t = 0 \, \text{s}[/tex]. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49.0 m and acquired an upward velocity of 60.0 m/s. The rocket continues to rise with insignificant air resistance in unpowered flight.

The maximum height reached by the rocket is closest to:

A) 233 m
B) 221 m
C) 209 m
D) 244 m
E) 256 m

Question

28-03-2024
Physics

High School

We appreciate your visit to A toy rocket is launched vertically from ground level at time tex t 0 text s tex The rocket engine provides constant upward acceleration during. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A toy rocket is launched vertically from ground level at time [tex]t = 0 \, \text{s}[/tex]. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49.0 m and acquired an upward velocity of 60.0 m/s. The rocket continues to rise with insignificant air resistance in unpowered flight.

The maximum height reached by the rocket is closest to:

A) 233 m
B) 221 m
C) 209 m
D) 244 m
E) 256 m

Answer :

Other Questions

How many liters of a 2.75 M NaBr solution can be made

What is the movement of water, containing no solute, across semi-permeable cellular

1. Careers in product development focus on creating new or improved food

Woodcut is considered what type of printmaking process?

Si un bloque rueda sobre un plano rugoso, tiene pérdida de energía

What is the consequence of destruction of the facial nucleus or CN

How much carbon dioxide is emitted from using a 1500-watt dryer for

If a food worker is going to monitor the cooling process, food

An individual's right to be treated with at least a minimum of

Practice proving that a quadrilateral is a parallelogram. In quadrilateral [tex] WXYZ

SuttonSamantha SuttonSamantha · Answer 1 · 2024-05-19T21:30:29-04:00

Final answer:

Using the kinematic formula with given values including the initial velocity of 60.0 m/s and acceleration due to gravity, the maximum height reached by the toy rocket is calculated to be closest to 244 m.

Explanation:

To find the maximum height reached by the toy rocket after engine burnout, we can use the kinematic formula which relates the final velocity (−4), initial velocity (60.0 m/s), acceleration due to gravity (-9.81 m/s2, negative since it opposes the motion), and displacement (H - 49.0 m, since 49.0 m is the height at engine burnout).

The formula we will use is −4 = v2 + 2a(s - 49.0), where −4 is the final velocity (0 m/s at the maximum height), v is the initial velocity (60.0 m/s), a is the acceleration (-9.81 m/s2), and s is the total displacement (the maximum height H). Solving for H yields H = 244 m, hence, the maximum height reached by the toy rocket is closest to 244 m, making D) 244 m the correct answer.