Classical Mechanics

1D Kinematics

Position, Velocity, and Acceleration


Suppose that the displacement ss of an aeroplane can be expressed as a function of time tt in the following way: s(t)=8t2+10t. s(t) = 8 t^2 + 10 t . What is the magnitude of the acceleration of the object?

Point PP moves along the xx-axis in such a way that its position is x(t)=62t,x(t)=6-2t, where tt denotes elapsed time. If tt has changed from 00 to 12,12, what is the average velocity of point P?P?

At 5:30 pm, Stacey was driving her car at a speed of 30 mph30\text{ mph} on a straight avenue. Suddenly she notices that she had forgotten to bring her purse, so she immediately makes a U-turn and heads back to her house. Now she looks at her watch, which says 6:00 pm. If her current speed is 40 mph,40\text{ mph}, what is the magnitude of her average acceleration from 5:30 to 6:00 pm?

John is jogging from his home to the park, and back. If the distance between his home and the park is 700700 yards and John has jogged for a total of 1414 minutes, what is his average velocity, v\vec{v}?

I'm driving along at a constant speed in my 3-meter-long car when I notice that I am accidentally driving through a red light. If the rear end of my car passes under the light 0.3 seconds after the front end of my car, how fast am I driving in m/s?


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