Question

An object moves with respect to its reference (origin) following the following coordinates:

x= 4.0m - (0.45m/s^2)t^2 y= (1.50m/s)t + (0.45m/s^3)t^3

a) Obtain the coordinates of the object, the displacement vector and the distance from the origin at t = 0.0 s and at t = 2.0 s.
b) Obtain the average vehicle speed between t = 0.0 s and t = 2.0 s.
c) If the instantaneous velocity at x of the object varies with time as follows: and if the instantaneous velocity at y of the object varies with time as follows:, obtain the components of the velocity, the velocity vector y its magnitude at t = 0.0 s and at t = 2.0 s.
d) Determine the average acceleration of the object between t = 0.0 s and t = 2.0 s.
e) If the instantaneous acceleration in x of the object varies with time as follows: and if the instantaneous acceleration in y of the vehicle varies with time as follows:, obtain the acceleration components, the acceleration vector y its magnitude at t = 0.0 s and at t = 2.0 s.

Answer 1

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