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

Answer:

See Explanation

Step-by-step 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:

$Speed = \frac{x(a) - x(b)}{a - b}$

Where

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

So, we have:

$Speed = \frac{x(2) - x(10)}{2 - 10}$

$Speed = \frac{x(2) - x(10)}{-8}$

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:

$Speed = \frac{12 - 132}{-8}$

$Speed = \frac{-120}{-8}$

$Speed = 15$