A jet fighter pilot knows he is able to withstand an acceleration of 9g before black- ing out. The pilot points his plane vertically down while traveling at Mach 3 speed and intends to pull up in a circular maneuver before crashing into the ground. (a) Where does the maximum acceleration occur in the maneuver? (b) What is the minimum radius the pilot can take?

A jet fighter pilot knows he is able to withstand an acceleration of 9g before black- ing out. The pilot points his plane vertically down while traveling at Mach 3 speed and intends to pull up in a circular maneuver before crashing into the ground. (a) Where does the maximum acceleration occur in the maneuver? (b) What is the minimum radius the pilot can take?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an...

See similar textbooks

Similar questions

Which has the greater centripetal acceleration, a car with a speed of 15.0 m/s along a circular track of radius 100.0 m or a car with a speed of 12.0 m/s along a circular track of radius 75.0 m?
The French train TGV travels at a speed of 300km/h. If passenger are not to be subject to more than 0.05g acceleration, where g is the acceleration of gravity, what is the minimum radius for any curve in the track?
A particle travels around a circular path having a radius of 50 m. If it is initiallytraveling with a speed of 10 m/s and its speed then increases at a rate of a (v) = (0.05v) m/s 2 , thendetermine the magnitude of the particle’s acceleration four seconds later.
What is the magnitude of the acceleration of a sprinter running at 10 m/s when rounding a turn of radius 25 m?
An airplane in a holding pattern flies at constant altitude alonga circular path of radius 3.50 km. If the airplane rounds half thecircle in 1.50 x 102 s, determine the magnitude of its (a) displacementand (b) average velocity during that time. (c) Whatis the airplane’s average speed during the same time interval?
If a particle moving in a circular path of radius 4.87 m has a velocity function v = 4t2 (units:m/s), what is the magnitude of its total acceleration at t = 1 s?
An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g?
In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration ? (that is, at 0.6? ) in reaching a speed of about 120 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6?, what is the radius ? of the turn?
Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.00 km wide. (a) What minimum constant acceleration in the x-direction must beprovided by the engines so the cycle crosses safely if the opposite side is0.660 km lower than the starting point?_________ m/s2 (b) At what speed does the motorcycle land if it maintains this constanthorizontal component of acceleration? Neglect air drag, but remember thatgravity is still acting in the negative y-direction._________ m/s
An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while flying at a constant speed of 212 m/s and maintaining the same altitude. The process takes 15.6 seconds to complete and the radius of the turn is 2105 m. For this turn, the magnitude of the average acceleration of the plane is?
If an arrow is shot straight upward on the surface of the moon with initialvelocity 60m/s, its height after t seconds is given byh(t) = 60t − 0.8t^2. At what time does the arrow reach its maximal height?
If an airplane is flying at 140 miles per hour East and turns in a smooth curve with a diameter of 3 miles till its headed West at the same speed, what is its average acceleration in m/s2 during the time it took to make the turn?