# Solving Vector Math: vi, vf, t, a

• ahmed1237
In summary, vi, vf, t, and a are variables used in vector math to represent initial velocity, final velocity, time, and acceleration respectively. To solve for these variables, vector equations of motion such as vf = vi + at and d = vit + 1/2at^2 can be used. It is important to use the correct signs and units when solving vector problems.
ahmed1237

## Homework Statement

vi=35m/s (s 10 degrees w)
vf=30m/s (n 30 degrees w)
t=5.0x10^-3s
a=?

Do I add these vectors to get a resultant vector or do I subtract?

## The Attempt at a Solution

Try drawing the vectors on a coordinate plane, it will become obvious what to do after that.

You have not submitted a complete problem statement. We don't know what you are supposed to do with that information.

## 1. What are vi, vf, t, and a in vector math?

These variables represent the initial velocity (vi), final velocity (vf), time (t), and acceleration (a) in a vector problem. They are used to calculate the change in position or velocity of an object.

## 2. How do you solve for vi, vf, t, and a in a vector problem?

To solve for these variables, you will need to use the vector equations of motion, such as vf = vi + at and d = vit + 1/2at^2. Plug in the known values and solve for the unknown variable.

## 3. Can you give an example of solving a vector problem?

Sure, let's say a car is traveling at an initial velocity of 20 m/s and is accelerating at a rate of 5 m/s^2. If we want to find the final velocity after 4 seconds, we can use the equation vf = vi + at. Plugging in the values, we get vf = 20 m/s + (5 m/s^2)(4 s) = 40 m/s.

## 4. What units should be used for the variables in vector math?

The units for vi and vf are typically in meters per second (m/s), the unit for time (t) is in seconds (s), and the unit for acceleration (a) is in meters per second squared (m/s^2).

## 5. Are there any common mistakes to avoid when solving vector problems?

One common mistake is forgetting to use the correct signs for the values. For example, if the acceleration is in the opposite direction of the initial velocity, it should be considered negative. Also, make sure to keep track of the units and use the correct equations for the given problem.

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