At an air show, a jet plane has velocity components vx = 675 km/h and vy = 475 km/h at time 4.45 s and vx = 888 km/h and vy = 370 km/h at time 7.37 s .
a) For this time interval, find the x component of the plane's average acceleration. (km/h2 )
b) For this time interval, find the y component of the plane's average acceleration. (km/h2)
c) For this time interval, find the magnitude of its average acceleration. (km/h2)
d) For this time interval, find the direction of its average acceleration. (∘ clockwise from +x axis)
Average acceleration = change in velocity / time interval
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we need to change time interval from seconds to hours
t = 7.37 - 4.45 = 2.92 sec = 2.92 / 3600 = 8.111e-4 hours
(a) ax = 888 - 675 / 8.111e-4 = 262606.34 km/h2
(b) ay = 370 - 475 / 8.111e-4 = -129453.83 km/h2
(c) |a| = sqrt ( ax2 + ay2)
|a| = 2.927e5 Km/h2
(d) direction = arctan ( 129453.83 / 262606.34)
direction = 26.24 degree
or
direction = 333.7 degree ( clockwise from +x axis)
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