Question

What is the particle's position at t = 1.0 s?

Answer 1

To find the particle's position at t = 1.0 s, substitute the time into the position function x(t) and simplify. For example, if x(t) = 4.0 - 2.0t meters, then at t = 1.0 s, the position would be x(1.0) = 2.0 meters.

Step-by-step explanation:

To determine the particle's position at t = 1.0 s, we need to substitute the time into the given position function of the particle. The problem you're referring to doesn't provide a specific position function for t = 1.0 s. However, I'll explain how you would typically find the position using a hypothetical position function of the form x(t) = at + b, where 'a' and 'b' are constants, and 't' is the time in seconds.

Here is the general step-by-step process:

1. Substitute the given time (t = 1.0 s) into the position function.
2. Simplify the expression to obtain the position of the particle at that specific time.

For example, if the position function is given as x(t) = 4.0 - 2.0t meters, then:

1. 
   
3. Substitute t = 1.0 s into the function to get x(1.0) = 4.0 - 2.0(1.0).
4. 
   
6. Simplify to find x(1.0) = 4.0 - 2.0 = 2.0 meters.

The particle's position at t = 1.0 s would be 2.0 meters from the origin, along the x-axis.