For a short time a rocket travels up and to the left at a constant speed of v =

Question

For a short time a rocket travels up and to the left at a constant speed of v = 550 m/s along the Ac path y = 600 - 35x^2 m. where x is in m. The origin of polar coordinate system is the same as the origin of the rectangular coordinate system xy. Part A Determine the radial component of velocity of the rocket at the instant when Its transverse coordinate theta = 60 degree. where theta is measured counterclockwise from the x axis. Part B Determine the transverse component of velocity of the rocket at the Instant when its transverse coordinate theta = 60 degree where theta is measured counterclockwise from the x axis.

Explanation / Answer

Here ,

v = 550 m/s

theta = 60 degree

for the radial component of velocity

radial component of velocity = v * sin(theta)

radial component of velocity = 550 * sin(60 degree)

radial component of velocity = 476.6 m/s

b)

for the transverse component of velocity

transverse component of velocity = v * cos(theta)

transverse component of velocity = 550 * cos(60)

transverse component of velocity = 275 m/s

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