A jet plane is flying at a constant altitude. At time t_1 = 0 it has components

Question

A jet plane is flying at a constant altitude. At time t_1 = 0 it has components of velocity v_x = 87 m/s, v_y = 109 m/s. At time t_2 = 35.0 s the components are v_x = 173 m/s, v_y =36 m/s. 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 y component is 4, then you should enter 3,4. Express your answer using two significant figures. Find the magnitude of the average acceleration. Express your answer using two significant figures. Find the direction of the average acceleration (let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise).

Explanation / Answer

a) ax = dvx/dt = (vx2 - vx1) / (t2 - t1) = (173-87) / (35-0) = 2.457 m/s^2

ay = dvy/dt = (vy2 - vy1) / (t2 - t1) = (36-109) / (35-0) = -2.08 m/s^2

aavg = (2.457, -2.08)

b) magnitude = sqrt(ax^2 + ay^2) = 3.22 m/s^2

c) Direction = tan^-1 (ay/ax) = tan^-1 (-2.08/2.457) = - tan^-1 (0.8465) = -40.25 deg from x axis

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