Question

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function −4x + 3y = 21, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 30km/hr.

Answer 1

`17\ \text{hours and}\ 15\text{ minutes}`

Explanation:

The function is

`-4x+3y=21`

Where

x = Time in hours

y = Velocity in kilometers per hour

Here y = 30 km/hr

`-4x+3y=21\\\Rightarrow x=(3y-21)/(4)\\\Rightarrow x=(3* 30-21)/(4)\\\Rightarrow x=(69)/(4)\\\Rightarrow x=17.25\ \text{hours}=17\ \text{hours and}\ 15\text{ minutes}`

The particle will reach 30 km/hr after
`17\ \text{hours and}\ 15\text{ minutes}`.