Question

the velocity-time graphs represent the motion of three different objects. identify any object that is getting faster or speeding up. tap on all that apply. tap to select or deselect graphs.

Explanation:

To determine which objects are speeding up, we analyze the velocity - time graphs by looking at the relationship between velocity and acceleration (the slope of the velocity - time graph) and the direction of motion (positive or negative velocity):

Graph 1:

The velocity is negative (below the time axis) and the slope (acceleration) is negative (the line is going downwards from left to right). When velocity and acceleration have the same sign (both negative here), the object is speeding up. This is because acceleration is in the same direction as the velocity vector. So, the object in Graph 1 is speeding up.

Graph 2:

The velocity is negative (below the time axis) and the slope (acceleration) is positive (the line is going upwards from left to right). Since velocity and acceleration have opposite signs (velocity is negative, acceleration is positive), the object is slowing down. The acceleration is acting against the direction of motion, so the speed (magnitude of velocity) is decreasing.

Graph 3:

The velocity is positive (above the time axis) and the slope (acceleration) is positive (the line is going upwards from left to right). When velocity and acceleration have the same sign (both positive here), the object is speeding up. The acceleration is in the same direction as the velocity, so the speed is increasing.

Answer:

Graph 1, Graph 3