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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= [5.00 m/s – (0.0180 m/s2)t^2 ]i+[2.00 m/s + (0.550 m/s2)t ]j .
a) What are ax(t) and ay(t), the x- and y- components of the velocity of the car as functions ?
b) What are the magnitude and direction of the velocity of the car at t= 8.00 s?

Answer :

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Below are the solutions:

Vx=5-0.018t^2
Vy=2+0.55t

ax=dVx/dt
ax=-0.036t

ay=dVy/dt
ay=0.55

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