Velocities are vector quantities with units of meters/second (m/s). An important

Question

Velocities are vector quantities with units of meters/second (m/s). An important vector quantity in physics is an object's change in velocity, which is gotten by subtracting the object's velocity at the start of some time interval from the object's velocity at the end of that time interval; changes in velocity are used to calculate acceleration vectors, which appear in Isaac Newton's Laws of Motion. In this question, you will get practice in subtracting velocity vectors.

Maria is using a controller to drive a toy car around a circular horizontal track; her brother Joey is using a stopwatch to time the trip. At time zero, the car is at the Northernmost point of the track going East at 1.9 m/s. Three seconds later, the car is at the Easternmost point of the track going South at 2.3 m/s.

Explanation / Answer

North ==> y direction ; East ==> x direction

Vi = 1.9 i ; Vf = -2.3 j ( where i, j are unit vectors along x, y directions)

so, A =  (Vf - Vi)/t

= ( -2.3 j - 1.9 i ) / 3

So, acceleration vector at t= 3 s is ( -2.3 j - 1.9 i ) / 3

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