You have a remote-controlled car that has been programmed to have velocity v =(3

Question

You have a remote-controlled car that has been programmed to have velocity v =(3ti^+2t2j^)m/s, where t is in s. At t = 0 s, the car is at r 0=(3.0i^+2.0j^)m.

Part A

What is the x component of the car's position vector at 10 s?

Express your answer with the appropriate units

Part B

What is the y component of the car's position vector at 10 s?

Express your answer with the appropriate units.

Part C

What is the x component of the car's acceleration vector at 10 s?

Express your answer with the appropriate units.

Part D

What is the y component of the car's acceleration vector at 10 s?

Express your answer with the appropriate units.

Explanation / Answer

A) x = xi + integral Vx*dt

= 3 - 3*10^2/2

= - 147 m.

Part b) y = yi + integral Vydt

= 2 + 2 *10^3/3

= 668.7 m

Part C) a = dV/dt

= - 3 m/s^2

Part d) a = dV/dt

= 4t

= 4*10

= 40 m/s^2

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