Question: A particle moves in the x-y plane with an x-component of velocity in meter per second given by vx = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by ay = 4 e(t), with t in seconds. When t-4, y=10, x=4, and vx = 10, (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.
Question: A particle moves in the x-y plane with an x-component of velocity in meter per second given by vx = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by ay = 4 e(t), with t in seconds. When t-4, y=10, x=4, and vx = 10, (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.
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Transcribed Image Text:Question: A particle moves in the x-y plane with an x-component of velocity in
meter per second given by vx = 4√t, with t in seconds. The acceleration of the
particle in the y-direction in meter per second squared is given by by ay = 4 e(t),
with t in seconds. When t-4, y=10, x=4, and vx = 10, (a) Find the equation of the
path of the particle and (b) calculate the magnitude of the velocity v of the particle
for the instant when its y-coordinate reaches 20 m, and the angle which the velocity
makes with the x-axis.
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