Question

A cyclist going downhill is accelerating at 1.2 m/s2. If the final velocity of the cyclist is 16 m/s after 10 seconds, what is the cyclist's initial velocity? 4 m/s 12 m/s 18 m/s 20 m/s

Answer 1

4m/s

Step-by-step explanation:

e2020

Answer 2

Initial Velocity is 4 m/s

Step-by-step explanation:

What is acceleration?

It is the change in velocity with respect to time, or the rate of change of velocity.

We can write this as:

`a=(\Delta v)/(t)`

Where

a is the acceleration

v is velocity

t is time

`\Delta` is "change in"

For this problem , we are given

a = 1.2

t = 10

Putting into formula, we get:

`a=(\Delta v)/(t)\\1.2=(\Delta v)/(10)\\\Delta v = 1.2*10\\\Delta v = 12`

So, the change in velocity is 12 m/s

The change in velocity can also be written as:

`\Delta v = Final  \ Velocity - Initial \ Velocity`

It is given Final Velocity = 16, so we put it into formula and find Initial Velocity. Shown Below:

`\Delta v = Final  \ Velocity - Initial \ Velocity\\12=16-Initial \ Velocity\\Initial \ Velocity = 16 - 12 = 4`

hence,

Initial Velocity is 4 m/s