Problem 12-40: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Question:
An airplane starts from rest, travels 5000 feet down a runway, and after uniform acceleration takes off with a speed of 162 miles per hour. It then climbs in a straight line with a uniform acceleration of 3 feet per second squared until it reaches a constant speed of 220 miles per hour. Draw the s versus t, v versus t, and a versus t graphs that describe the motion.

This lesson analyzes a three-phase rectilinear motion problem involving an airplane accelerating from rest on a runway, continuing to accelerate during a straight climb, and finally cruising at constant speed. Students learn to apply kinematic equations to each phase and interpret the resulting s–t, v–t, and a–t graphs.


In this lesson, you will learn to:
• Convert speeds between miles per hour and feet per second using dimensional analysis
• Apply the constant-acceleration kinematic equations to find acceleration