2. Which of the following position-time curves best shows the motion of an object with the following descriptions (Tipler & Mosca, 2008). (a) (c) (e) Time, s Description x-t curve |(a) With constant positive velocity (b) With constant positive acceleration (c) That is always at rest |(d) With negative acceleration Position, m

Assuming the positive direction points North, which of these situations results in a positive velocity and a negative acceleration? A car driving North and speeding up. A plane flying North and slowing down. O A bicycle riding South and speeding up. O An athlete running South and slowing down. O t is impossible to have a positive velocity and a negative acceleration.

The acceleration of a particle is given by ax(t) = -2.03 m/s2+ (2.93 m/s2)t I. Find the initial velocity V0x such that the particle will have the same x-coordinate at time t = 3.97 t as it had at t=0. (Express your answer in meters per second.) II. What will be the velocity of time t = 3.97 s? (Express your answer in meters per second.)

If we apply the above equations to the case of an object that does not change its direction of travel as it moves with constant acceleration, we find that the object: Undergoes a displacement Ax = x- x, . Note that displacement is a positive quantity if x > x, and a negative quantity if x < x,. Has average velocity v = (x - x )/t = (v + vo)/2. Note that velocity has the same sign as displacement. Travels distance d = |Ax| = |x – x,| . Note that distance is always a positive quantity. Has average speed d/t . Note that speed is always a positive quantity. Has constant acceleration a = (v – vo)/t . Acceleration may be positive or negative, depending on how velocity changes. - Xo For the case of an object that does change its direction of travel as it moves with constant acceleration, which of the quantities listed above are different? Question

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近 8. The elevators in Landmark Tower, in Yokohama, Japan, are among the fastest in the world. They accelerate upward at 3.125 m/s? for 4.00s to reach their final speed. What is the elevator's change in velocity? p search

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Problem 5. An object is moving with an initial position of 28m from the origin with an initial velocity of -4m/s and constant acceleration of 8m/s². (1) How fast is the body moving after 2s? (2) What is its position 3s after the start? (3) When will it be 36m from the origin?

When last we left our friend Wile E. Coyote (SuperGenius), was peeling himself off a canyon wall and none the worse for wear. This time, he has obtained an Acme^ TM rocket-powered dragster with the AcmeTM Premium Parachute Braking System (patent pending)Starting from restthe dragster accelerates at a constant rate of 36.4 m/s ^ 2 for 14 seconds. At this point, the coyote realizes that he has passed the Road Runner and so he instantly cuts off the engine and deploys his braking system - which doesn't work. He therefore travels an additional distance of 1800 m at constant velocity until again becoming one with a canyon wall. Determine: (a) The total time for Wile E. Coyote's motion described above; on (b) The total distance covered by Wile E. Coyote's motion described above ; (c) The average velocity for Wile E. Coyote's motion described above.