A remote-controlled car is moving in a vacant parking lot. The velocity of the c

ID: 1588294 • Letter: A

Question

A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by

v= [5.00m/s(0.0180m/s3)t2]i^ + [2.00m/s+(0.550m/s2)t]j^

What is the direction (in degrees counterclockwise from +x-axis) of the velocity of the car at t = 7.46 s ?

Express your answer to three significant figures and include the appropriate units.

What is the magnitude of the acceleration of the car at t = 7.46 s ?

Express your answer to three significant figures and include the appropriate units.

What is the direction (in degrees counterclockwise from +x-axis) of the acceleration of the car at t = 7.46 s ?

Express your answer to three significant figures and include the appropriate units.

part a )

tan^-1(y/x)

at t = 7.46

theta = tan^-1[(2 + 0.550*7.46)/ ( 5 - 0.0180 * 7.46^2)]

theta = 56.8 degree

part b )

a = dv/dt

a = -0.036t i + 0.550 j

at t = 7.46

a = -0.26856 i + 0.550 j

a = sqrt(ax^2 + ay^2)

a = sqrt(0.26856^2 + 0.550^2)

a = 0.612 m/s^2

part c )

theta = tan^-1(y/x)

theta = tan^-1(0.550/-0.26856)

theta = 116 degree

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