The position of a particle that moves along the x-axis is given by:    x= t3-3t2-45t (meters) The time t is in seconds. Determine the position (meters), velocity (m/s), and acceleration (m/s2) at t = 8 seconds. Show all necessary math and include all units.

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A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/s

A vehicle is moving at +36.0 m/s when the driver sees a stop sign. In 2.60 seconds, the vehicle comes to a stop. 1) Find the vehicle’s acceleration (magnitude and direction). 2) Find the vehicle’s displacement (magnitude and direction).

What is the total distance traveled by the plane from Charlotte to the arrival airport? In Km

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Knowledge Check: Walking Displacement Please answer the following question(s): 1. Ella walks with a constant velocity of 8.0 m/s for 5.0 s. Calculate her displacement. Enter to 2 significant figures Δx= m

Question 2 A brick is thrown upward from the top of a building at an angle o to the horizontal and with an initial speed vo. If the brick is in flight for a time t, how tall is the building? Show the steps of your calculation and indicate units to get credit Remember: order is essential to get full credit For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A v Ix

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The horizontal distance or range (R) of an object thrown at an angle θ from the horizontal is represented by the equation below where v0 is the initial velocity as the object leaves the hand, in feet per second. If v0 = 2500 feet per second and θ is changed from 13° to 14°, use differentials to approximate the change in range, in feet.