Question

At t = 3.0 s, what is the particle's position if x₀ = 2 m and it moves with constant velocity?

a) x = 2 m
b) x = 5 m
c) x = 6 m
d) x = 8 m

Answer 1

Without the value for the constant velocity, we cannot accurately determine the particle's position at t = 3.0 s using the equation x(t) = x_0 + vt. The particle's position remains undetermined with the given information.

Step-by-step explanation:

To determine the particle's position at t = 3.0 s when it moves with a constant velocity, we need to use the kinematic equation for motion at constant velocity:

x(t) = x_0 + vt

Where x(t) is the position at time t, x_0 is the initial position, and v is the constant velocity.

Since the problem statement does not provide a velocity, but the movement is at a constant pace, we can deduce the velocity from any given position and time other than the initial conditions, if available. However, in this scenario, since only the initial position (x_0 = 2 m) and a time (t = 3.0 s) are provided with no additional information on the velocity, we cannot calculate the precise position at t = 3.0 s without knowing the constant velocity value.

In cases where the velocity is given, the formula simplifies to:

x(t) = 2 m + (constant velocity) * 3.0 s

Therefore, to answer the question accurately, the constant velocity needs to be provided or known from previous parts of the question. With the given information, the position at t = 3.0 s remains undetermined.