As you look out of your dorm window, a flower pot suddenly falls past. The pot is visible for a time t, and the vertical length of your window is Lw. Take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the positive quantity g. Assume that the flower pot was dropped by someone on the floor above you (rather than thrown downward).
To demonstrate the tremendous acceleration of a top fuel drag racer, you attempt to run your car into the back of a dragster that is "burning out" at the red light before the start of a race. (Burning out means spinning the tires at high speed to heat the tread and make the rubber sticky.) You drive at a constant speed of v0 toward the stopped dragster, not slowing down in the face of the imminent collision. The dragster driver sees you coming but waits until the last instant to put down the hammer, accelerating from the starting line at constant acceleration, a. Let the time at which the dragster starts to accelerate be t=0.
Tim and Rick both can run at speed vr and walk at speed vw, with vr>vw. They set off together on a journey of distance D. Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other half.
Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 35.0 mph and half the distance at 65.0 mph. On her return trip, she drives half the time at 35.0 mph and half the time at 65.0 mph. PART A. What is Julie's average speed on the way to Grandmother's house?
A particle moving along the x-axis has its position described by the function x =( 2.00 t3− 5.00 t+ 3.00 )m, where t is in s. At t= 3.00, what are the particle's (a) position, (b) velocity, and (c) acceleration?
Two cars travel on the parallel lanes of a two-lane road. The cars’ motions are represented by the position versus time graph shown in the figure. Answer the questions using the times from the graph indicated by letters.
The motions described in each of the questions take place at an intersection on a two-lane road with a stop sign in each direction. For each motion, select the correct position versus time graph. For all of the motions, the stop sign is at the position x=0, and east is the positive x-direction.
The figure is the position-versus-time graph of a jogger. PART A. What is the jogger’s velocity at t = 10 s?
An object moves along the x-axis during four separate trials. Graphs of position versus time for each trial (with the same scales on each axis) are shown in the figure.During which trial or trials is the object's velocity not constant
Consulting the graph shown in the figure, find the object's average velocity over the time interval from 0 to 1 second.