- #1

- 5

- 0

## Homework Statement

The position of a particle moving along the

*x*axis varies in time according to the expression

*x*= 6

*t*2, where

*x*is in meters and

*t*is in seconds. Evaluate its position at the following times.

(a) t=2.5s

(b) t=2.5s + Δ

*t*

(c) Evaluate the limit of Δ

*x*/Δ

*t*as Δ

*t*approaches zero to find the velocity at

*t*= 2.50 s.

## Homework Equations

Δ

*x*/Δ

*t*

## The Attempt at a Solution

(a) was simple, just plug in 2.5s and get 37.5m

(b) the problem doesn't explain well enough, but i finally got it, plug in 2.5 + Δ

*t*for t and I got 6(2.5 + Δ

*t*)^2

(c) I don't even know how to do this, it's been 4 years since I've taken classes of higher math and I must have forgotten most. The answer provided is 30 but I don't know the steps to get there.