which of collowing situations describe a particle that might have a non-zero velocity? canbe more than one
A) a particle that has a constant position as a function of time
B) a particle that has its position changing as a fnction of time
c)when you graph the particle's accerleration, the slope of the ine is zero
d)a particle that is falling near the surface of the earth
To determine which situations describe a particle that might have a non-zero velocity, let's analyze each option:
A) A particle that has a constant position as a function of time: In this case, if the particle's position is not changing, it means the particle is not moving. Therefore, the velocity would be zero.
B) A particle that has its position changing as a function of time: If the particle's position is changing, then it means the particle is moving. Therefore, there is a possibility that the particle has a non-zero velocity.
C) When you graph the particle's acceleration, the slope of the line is zero: Suppose you have a graph of the particle's acceleration over time, and the slope of the line is zero. This means that the acceleration is constant and not changing. However, the velocity is the integral of acceleration with respect to time. If the acceleration is constant, integrating it over time will result in a non-zero velocity.
D) A particle that is falling near the surface of the Earth: When a particle is falling near the surface of the Earth under the influence of gravity, it experiences a constant acceleration due to gravity. This means the particle's velocity is changing and not zero.
Based on the analysis above, options B, C, and D could all describe a particle that might have a non-zero velocity.