- #1

burton95

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**parametric equations --> acceleration**

## Homework Statement

An object is moving at constant acceleration in the x-y plane. Its position and velocity at two different times are given by the following equations:

What is the magnitude of the object’s acceleration (in m/s2) as it moves from the first position to the second position? Hint: solve for the acceleration along each axis separately.

## Homework Equations

**r**

_{1}= (2m)i + (4m)j

**r**

_{2}= (10m)i + (14m)j

**v**

_{1}= (1m/s)i + (8m/s)j

**v**

_{2}= (7m/s)i + (2m/s)j

## The Attempt at a Solution

I decided to calc magnitude of the velocity

[itex]\left\|[/itex]v1[itex]\right\|[/itex] = (8

^{2}+1

^{2})

^{1/2}= 8.06

mag v2 = (7

^{2}+ 2

^{2})

^{1/2}= 7.2801

(Vf)

^{2}=(Vi)

^{2}+ 2asΔs

for y

(7.2801)

^{2}=(8.06)

^{2}+2as(10)

as = -.7457725

for x

(7.2801)

^{2}=(8.06)

^{2}+2as(8)

as = -.59818

√((-.59818

^{2})+(-.7457725

^{2}) = .95755

Last edited: