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Describe in words the motion of the object graphed in Fig. 2-33.

Short Answer

Expert verified

The slope of a line in the velocity-time graph denotes the acceleration of the object at that instant of time. A change in slope signifies a specific pattern of motion.

Step by step solution

01

Step 1. Definition of velocity

Velocity is a vector quantity and is defined as the rate of change of displacement of an object with time. The SI unit of velocity is meter per second m/s.

02

Step 2. Definition of the slope of a graph

The slope measures the steepness of a line in the graph. It is defined as the ratio of change in the y-coordinate to that in the x-coordinate.

03

Step 3. Examining the slope of a velocity-time graph

The slope of a velocity versus time graph represents the acceleration. The slope at a particular time gives the instantaneous acceleration of the object.

04

Step 4. Description of the given velocity-time graph

The object starts at a speed of about 15m/sand continues to move in the positive direction. It speeds up with a constant acceleration up to t=45s, where its velocity at the highest point is 37m/s.

The object then decelerates until it reaches an instantaneous acceleration of zero at t=50s. It slows down in the positive direction from t=50sto t=90s. It takes a halt at t=90sand stays at rest until t=108s.

The object again gains some speed and moves to the right with greater acceleration. It then lowers the speed, giving less acceleration. Beyond t=125s, the object continues to move faster toward the right direction.

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