Solving Rectilinear Problems - Example Problem 2.2-4

 

A rocket is traveling straight up at 80 m/s when it runs out of fuel at a height of 7,000 m above the ground. Determine the maximum height reached by the rocket and the time it takes before it falls back down to the ground. Neglect the effect of air resistance.

 

Given:

• v₀ = 80 m/s
• h₀ = 7000 m
• Neglect air resistance

 

Find:

• h_apex
• t_ground

 

Solution:

 

Video Solution

 

The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.

 

 

Interactive Solution

 

Whenever a problem statement does not have a figure accompanying it, it is a good idea to sketch up the problem.

 

Sketch the problem labeling all the important points of travel. When complete, click the button to see a possible representative figure.