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The initial velocity of a car, , is 45 km/h in the

Chapter 3, Problem 22P

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QUESTION:

The initial velocity of a car, \(\mathrm {\vec v _i}\), is  in the positive  direction. The final velocity of the car, \(\mathrm {\vec v _f}\), is  in a direction that points \(75^\circ\) above the positive  axis. (a) Sketch the vectors \(-\mathrm {\vec v _i}\), \(\mathrm {\vec v _f}\) and \(\Delta \mathrm {\vec v= \vec A_f-\vec A_i}\). (b) Find the magnitude and direction of the change in velocity, \(\Delta \mathrm {\vec v}\).

Equation Transcription:

Text Transcription:

vector{v}_i

vector{v}_f

75^o

-vector{v}_i

vector{v}_f

{Delta}vector{v}=vector{A}_f-vector{A}_i

{Delta}vector{v}

Questions & Answers

QUESTION:

The initial velocity of a car, \(\mathrm {\vec v _i}\), is  in the positive  direction. The final velocity of the car, \(\mathrm {\vec v _f}\), is  in a direction that points \(75^\circ\) above the positive  axis. (a) Sketch the vectors \(-\mathrm {\vec v _i}\), \(\mathrm {\vec v _f}\) and \(\Delta \mathrm {\vec v= \vec A_f-\vec A_i}\). (b) Find the magnitude and direction of the change in velocity, \(\Delta \mathrm {\vec v}\).

Equation Transcription:

Text Transcription:

vector{v}_i

vector{v}_f

75^o

-vector{v}_i

vector{v}_f

{Delta}vector{v}=vector{A}_f-vector{A}_i

{Delta}vector{v}

ANSWER:

Step 1 of 4

Part (a)

A car is traveling in the +x-direction with an initial velocity and travels in 75° above the positive x axis with the final velocity. We are going to sketch the velocities of the car in a plot.

The initial velocity  = 45 km/h (in + x)

The final velocity  = 66 km/h (in + x direction above 75° )

.

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