# Help Instantaneous velocity

• sammiyahc0
In summary, the position of a particle moving in a straight line during a 10-second trip can be represented by the equation s(t) = 3t2 - 3t + 5 cm. To find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip, the derivative s'(t) = 6t - 3 can be used. However, the average velocity is defined as the change in position divided by the time elapsed, so more information is needed to solve for t.

#### sammiyahc0

The position of a particle moving in a straight line during a 10–second trip is s(t) = 3t2 − 3t + 5 cm.Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip

Show us some attempt at least!

s'(t)=6t-3=6(10)-3=57s instantenous velocity but I don't know how to get average

Please don't post the same problem in different forums.

See, you've confused yourself because there may be different replies in your other post.

I still need help.

sammiyahc0 said:
s'(t)=6t-3=6(10)-3=57s instantenous velocity but I don't know how to get average

Average velocity is defined as change in position divided by time elapsed.

## 1. What is instantaneous velocity?

Instantaneous velocity is the velocity of an object at a specific moment in time. It is the rate of change of an object's position with respect to time at a particular instant.

## 2. How is instantaneous velocity different from average velocity?

Instantaneous velocity is the velocity at a specific moment, while average velocity is the total displacement divided by the total time taken. Average velocity considers the entire motion of an object, while instantaneous velocity only looks at a specific instant.

## 3. How is instantaneous velocity calculated?

Instantaneous velocity can be calculated by finding the slope of the tangent line to the position-time graph at a specific point. It can also be calculated using the equation v=Δx/Δt, where Δx is the change in position and Δt is the change in time.

## 4. What is the unit of measurement for instantaneous velocity?

The unit of measurement for instantaneous velocity is meters per second (m/s) in the SI system or feet per second (ft/s) in the imperial system.

## 5. Why is instantaneous velocity important in physics?

Instantaneous velocity is important in physics because it helps us understand the motion of objects at a specific moment in time. It allows us to analyze the speed and direction of an object at a particular instant and make predictions about its future motion.