A particle moving in a straight line may or may not have acceleration. Acceleration is adifferent phenomenon altogether. the rate of change of velocity is acceleration, a particle can move in a straight line with a constant velocity thus having no acceleration & it can also move with increasing or decreasing velocities thereby accelerating or deaccelerating.
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Acceleration = Final velocity - Initial velocity / time
If it's moving in a curve or some other non-straight path, then yes. If it's moving in a straight line, then no.
An object moving at a constant speed in a straight line has an acceleration of 0. An object at rest also has an acceleration of 0. So, the two things I see in common are their accelerations, which are both 0.
A straight slanted slope on a velocity-time graph indicates that the object is moving with a constant acceleration.
It is moving at a constant speed with no acceleration nor decceleration