Question

A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2€ + t. What is the average

speed of this particle over the interval 2 sts 10?

4

25

32

200

Answer 1

See Explanation

Explanation:

Given

The function is not clear, so I will use:

`x(t) = 2+ 3t + t^2`

Required

Speed over 2 to 10s

This is calculated as:

`Speed = (x(a) - x(b))/(a - b)`

Where

`(a,b) =(2,10)`

So, we have:

`Speed = (x(2) - x(10))/(2 - 10)`

`Speed = (x(2) - x(10))/(-8)`

Calculate x(2) and x(10)

`x(2) = 2+ 3*2 + 2^2 =12`

`x(10) = 2+ 3*10 + 10^2 =132`

So, we have:

`Speed = (12 - 132)/(-8)`

`Speed = (-120)/(-8)`

`Speed = 15`