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A steam catapult launches a jet aircraft (from rest) from theaircraft carrier Jo

ID: 1737942 • Letter: A

Question

A steam catapult launches a jet aircraft (from rest) from theaircraft carrier John C. Stennis, giving it a speed of 160 mi/h in 2.90 s.

(a) Find the average acceleration of the planein m/s2 (b) Assuming that the acceleration is constant, find thedistance the plane moves in meters

A steam catapult launches a jet aircraft (from rest) from theaircraft carrier John C. Stennis, giving it a speed of 160 mi/h in 2.90 s.

(a) Find the average acceleration of the planein m/s2 (b) Assuming that the acceleration is constant, find thedistance the plane moves in meters

(b) Assuming that the acceleration is constant, find thedistance the plane moves in meters

Explanation / Answer

     a.   Acceleration   a   =   (finalvelocity - initial velocity) /time   =   ( v - u ) / t          here   v   =   160mi/h   =   160 * 1609 /3600   =   71.51   m/s          u   =   0,   t   =   2.90   s          a   =   (71.51   -   0) / 2.90   =   24.66   m/s2    b.   Second equation ofmotion is          distancetravelled            d   =   u* t   +   (1/2) * a *t2             d   =   0* 2.90   +   0.5 * 24.66 *2.902             d   =   103.69   m             d   =   103.69   m    
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