A jet plane is flying at a constant altitude. At time t1=0 it has components of

Question

A jet plane is flying at a constant altitude. At time t1=0 it has components of velocity vx= 87 m/s , vy= 114 m/s . At time t2= 30.5 s the components are vx= 174 m/s , vy= 36 m/s

a) For this time interval calculate the average acceleration.

Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the ycomponent is 4, then you should enter 3,4. Express your answer using two significant figures.

b) Find the magnitude of the average acceleration.

Express your answer using two significant figures.

c) Find the direction of the average acceleration (let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise).

Can you show the steps please.

Explanation / Answer

average acceleration = a_avg = change in velocity /time

ax_avg = 174 - 87 / 30.5 = 2.85 m/s^2

ay_avg = 36-114 /30.5 = -2.56 m/s^2

average acceleration = ( 2.9 , -2.6)

part b )

|a_avg| = sqrt(x^2+y^2)

|a_avg| = 3.8 m/s^2

part c )

tan theta = y/x

theta = tan^-1(y/x)

theta = 318.17 degree from +x axis , CCW

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