<u><em>The correct method to obtain the constant acceleration of the cart is to obtain a straight line of the velocity-time data on the graph.</em></u>
Explanation:
The acceleration of an object is explained as change in velocity of the body every second while it is in motion. If the rate at which the velocity of object changes remains constant, acceleration of object remains constant.
The acceleration is basically the magnitude of increment in velocity of the body after every second. The graph between the velocity and time is the plot of the velocity of body at different instants.
The slope of the velocity time graph of the body is the rate of change of velocity of the body. The slope of the v-t graph keeps changing, then the velocity of the body changes with a non-constant acceleration.
Whereas if the slope of a body is a straight line, then the acceleration of the body is constant and its velocity also changes at a constant rate.
Thus, <u><em>the correct method to obtain the constant acceleration of the cart is to obtain a straight line of the velocity-time data on the graph.</em></u>
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Acceleration
Keywords:
acceleration, rate of change, velocity, velocity-time graph, constant, non-constant, slope, straight line, cart, three methods.