An airliner must reach a speed of 110 m/s to take off. If the available runway is 2.4 km and the aircraft accelerates uniformly from rest at one end, what minimum acceleration must be available if it is to take off?

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter2: Kinematics
Section: Chapter Questions
Problem 15CQ: Give an example in which velocity is zero yet acceleration is not.
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Question 1
А.
An airliner must reach a speed of 110 m/s to take off. If the available runway is 2.4 km
and the aircraft accelerates uniformly from rest at one end, what minimum acceleration
must be available if it is to take off?
A speeding motorist driving a car, passes a traffic police officer on a stationary
motorcycle. The police officer immediately gives chase: his uniform acceleration is
4ms?, and by the time he draws level with the speeding car, the police officer is
travelling at 30ms!.
В.
i.
How long did it take for the police officer to catch the car?
ii. If the speeding motorist continued to travel at a steady speed during the
chase, what was his speed?
С.
A stone is thrown vertically upwards with a speed of 24.0 ms'. Using g = 9.8 ms² and
ignoring air resistance:
i.
How much time is required to reach this height?
ii.
Why are there two answers to (ii.)?
iii.
Sketch the velocity-time graph for the stone, from it is released until it
returns to the thrower.
Transcribed Image Text:Question 1 А. An airliner must reach a speed of 110 m/s to take off. If the available runway is 2.4 km and the aircraft accelerates uniformly from rest at one end, what minimum acceleration must be available if it is to take off? A speeding motorist driving a car, passes a traffic police officer on a stationary motorcycle. The police officer immediately gives chase: his uniform acceleration is 4ms?, and by the time he draws level with the speeding car, the police officer is travelling at 30ms!. В. i. How long did it take for the police officer to catch the car? ii. If the speeding motorist continued to travel at a steady speed during the chase, what was his speed? С. A stone is thrown vertically upwards with a speed of 24.0 ms'. Using g = 9.8 ms² and ignoring air resistance: i. How much time is required to reach this height? ii. Why are there two answers to (ii.)? iii. Sketch the velocity-time graph for the stone, from it is released until it returns to the thrower.
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