What is the expression for the velocity of the Car in Vector

In summary, the conversation revolves around finding the correct expression for velocity and position vector in a problem that involves a car's motion in one direction. The initial attempt was to use v = 63i + 0j + 0k, but it was incorrect. The question is unclear about the units and whether it wants an expression for velocity or position. The correct answer involves using the position vector, ##\vec{r}=r_i\cdot i +0j+0k##, where ##r_i## is still unknown. The final solution is suggested to be ##v\cdot \vec{i} +0\cdot\vec{j}+0\cdot\vec{k}##.
  • #1
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Homework Statement


upload_2019-2-10_20-45-49.png


Homework Equations


v = I + j + k
v = d/t

The Attempt at a Solution



I thought the answer was as simple as: v = 63i + 0j + 0k, since the car only has motion in one direction...
...but I got it wrong, so clearly I'm missing something here.
 

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  • #2
The question is somewhat vague. I see two aspects that are unclear.
What units are to be used in the answer?
Does it want an expression for velocity or one for location?
 
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  • #3
I think the problem wants the expression for the position vector too, that is ##\vec{r}=r_i\cdot i +0j+0k##. What is ##r_i## here?
 
  • #4
Whoops. Sorry, I should've had this picture there too:

upload_2019-2-10_22-54-36.png
 

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  • #5
it says using the speed v and the unit vectors i,j,k

maybe try ##v\cdot \vec{i} +0\cdot\vec{j}+0\cdot\vec{k}##
 
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  • #6
Thanks. I knew it was something silly.
 
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1. What is the expression for the velocity of the car in vector?

The expression for the velocity of the car in vector is represented as a vector quantity, which includes both magnitude and direction. It can be expressed as v = d/t, where v is the velocity, d is the displacement, and t is the time.

2. What is the difference between scalar and vector quantities?

Scalar quantities only have magnitude, such as speed and temperature, while vector quantities have both magnitude and direction, such as velocity and force.

3. How do you calculate the velocity of an object in vector form?

To calculate the velocity of an object in vector form, you need to determine its displacement and time. Then, divide the displacement vector by the time vector to get the velocity vector.

4. Can the velocity of a car in vector form change?

Yes, the velocity of a car in vector form can change as it moves in different directions or at varying speeds. This change in velocity is known as acceleration, which is the rate of change of velocity.

5. How do you represent the velocity of a car in vector form graphically?

The velocity of a car in vector form can be represented graphically using a vector diagram. The magnitude of the vector is represented by the length of the arrow, and the direction is shown by the direction of the arrow.

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