a. Draw the velocity graphs of Vy and Vx as a function of time. b.Draw x and y component of the position as a function of time. c. how long does it take for the rock to hit the ground? d. what is distance X where the rock hits the ground from the base of the vertical cliff?

6. The instantaneous speed of a figure that describes a plane trajectory is v=ti + 2tj (m/s). ( THE v ,i and the j both have arrow above them) a) Calculate the numerical value of the speed at t = 1 s and at t = 5 s. b) What is the average acceleration vector in that time interval? c) What is the acceleration at t = 5s?

Whale sharks swim forward while ascending or descending. They swim along a straight-line path at a shallow angle as they move from the surface to deep water or from the depths to the surface. In one recorded dive, a shark started 50 m below the surface and swam at 0.85 m/s along a path tipped at a 13° angle above the horizontal until reaching the surface.a. What was the horizontal distance between the shark’s starting and ending positions?b. What was the total distance that the shark swam?c. How much time did this motion take?

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.

4. A bullet fired horizontally from a gun is travelling at 250 m/s. The velocity of the bullet at any time t, in seconds, can be represented by v(t)=250-2t³. Assume the bullet is affected by air resistance but not gravity. How long will the bullet be in the air before it stops due to air resistance? a. b. How far will the bullet travel before it stops? Record your answer as an exact value.

5. You notice a falcon diving straight down alongside the Boston Store building in downtown Erie. You see it pass five stories in 1.5 seconds; and, at the end, it has a downwards velocity of 15 m/s. (Its acceleration is constant, but it is NOT g). Each floor is 3 meters high. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. What is the acceleration of the bird? C. What was the initial velocity of the bird as the start of passing the 5 stories?

A ball is thrown horizontally from a height of 1 m and lands 5 m away. a. What is the time of flight of the ball? b. What is the initial velocity of the ball?

5. An object is launched 15 m/s horizontally. A. Fill in the variables for the object. B. Solve for time in the y-direction. C. Since the x-direction is constant speed, solve for Ax.

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3.) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2 to answer the following questions. You can use a spreadsheet but show your sample calculations. 3a.) Calculate the height, y(t), and velocity, vy(t), at 0.50 second intervals until the ball hits the ground. Show your results in a table and put the units in the column headers: t (s), vy (m/s), y (m). 3b.) Use this data to draw a motion diagram for the ball at 0.50 second intervals. Label the height and the speed at each time interval. Label the origin, starting height, maximum height, and final height. Include the velocity vectors for each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground. Include this velocity vector in your diagram.