2. The graph shows the x-velocity as a function of time of a carton a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? b. What is the furthest distance the cart travels from its starting point? c. What is the x-acceleration of the cart while it is being brought to a stop? d. What is the x-acceleration while the cart it is going up and down the ramp without you touching it? e. Make rough graphs of the x and avs. time for the motion. You don't have to get everything precisely but make sure portions that are curved are curved, portions that are straight are straight, and portions that are flat are flat. Include numbers on the vertical axes to set the scale.

A large wheel with a radius of 7 m completes a revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. a) Draw a graph showing the change in height of a person above the ground as a function of time for three revolutions, starting from the lowest point on the wheel. b) Formulate the equation corresponding to the graph. c) Predict the change in the graph and the equation if the Ferris wheel spins more slowly. d) Verify the prediction you made in c) by plotting the graph for three revolutions and revolutions and formulating the corresponding equation, if the wheel completes one revolution every 20 s. The average height of water in a harbour is 5 m. At low tide, the height of the water .

4. A car moves in a straight line 20 miles due north, then travels 10 miles due east. The total distance the car traveled was: Select one:a. 22 milesb. 35 milesc. 30 milesd. 30 km

Distance from E. E velocity ET centre of earth R. -6.23*10’ J 5*10' J 1*10* J -1.25*10' J 2R. -3.13*107 J 1.88*107 J 0.613*10* J -1.25*10'J 3R. -2.08*10' J 0.83*107 J 0.41*10* J -1.25*10'J 4R. -1.58*107 J 0.33*10' J 0.26*10* J -1.25*107 J 6R. -1.04*107 J -0.21*107 J -1.25*107J (Not possible) 8R. -7.82*10 J -047*10' J -1.25*107 J (Not possible) Not possible -1.25*10'J Really, really far OJ 2. Is it possible to find the rock at a distance of 6R,? What eventually happened to the rock? Explain.

Which of the following has three significant figures? a. 0.050 km b. 305.0 cm c. 3.84 x 108 km d. None of these choices. e. 1.00281 kg

3. The organizers of a snowboarding competition have decided that they need to get an engineer to help them design one of the jumps for the competition. They want a tabletop jump and need you to specify the key parameters of the jump so as to provide good air time for the competitors, but also account for safety concerns such as hitting the ground with too much force in the landing area or not jumping far enough and hitting the deck or the knuckle of the tabletop. The general design of the jump is shown below. Assume the height of the end of the jump, h, is 2 m above the deck. Also, assume the competitors have really good wax on their boards so as to be near frictionless. Start Take-off Knuckle Approach Transition Deck Landing Run-out Using your knowledge of kinematics and kinetics analyze the jump and specify the parameters shown above (0,07, OL,L, I, w). (For this analysis, neglect the effects of the transition). Justify your design through an engineering analysis and discuss how…

A car is driving along a circular track of diameter d = 0.75 km at a constant speed of v = 22 m/s.a. Write an expression for the magnitude of acceleration a of the car in terms of the given parameter. b. What is the magnitude, in meters per second squared, of the acceleration a of the car. c. Write an expression for the minimum coefficient of the friction μ between the car's tires and the road that is required in order to keep the car going in a circle in terms of the given parameters.

A value of 1 J is equal to what?   A.1N * m^2 B.1N*M C. 1 n/m^2

Determine the magnitude of Coriolis acceleration if N = 5 rad/sec. 120 mm T 120 mm Select one: O OO a. 1.08 m/s² b. 3.00 m/s c. 4.32 m/s² d. 0.48 m/s² D 45° B N

The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗  F. In ordered pair notation, write down the components of vector D G.What is true about B⃗  and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.