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- Sketch the acceleration-versus-time graph from the following velocity-versus-time graph.Sketch the velocity-versus-time graph from the following position-versus-time graph.Plot both the position vs. time and acceleration vs. time graphs with the velocity vs. time graph given. Be sure to show some calculations and label axes. Take the initial position at time t=0 to be x=0.
- Quantitatively draw the corresponding velocity-vs-time graph(include numerical values). Be sure to label axes, ticks, and include proper units.Twila throws a ball directly downward from a window that is 25.0 m above the ground. It takes the ball 1.97 s to impact with the ground. a) Calculate the initial velocity that the ball was thrown at. b) Calculate the impact velocity. c) If the ball was dropped from rest how long would it have taken to impact the ground?A bike messenger travels at a constant v = 10m/s for 5s, changes his velocity to v = −2m/sfor 4s, stops for 10s, then rides at 4m/s for 12s.(a) Sketch a velocity vs. time graph for this motion.(b) Sketch a position vs. time graph for this motion.(c) What is the messenger’s average velocity?(d) What is the messenger’s average acceleration?(e) What is the messenger’s average speed?
- A basketball player starts at the left end of the court and moves in a straight line toward right. His velocity graph is shown below. Answer the following: a) During 0-12 s, At what time or times does the player reaches the maximum speed? What is the player’s maximum speed? b) At what time or times does the player change direction, if any? c) What is the player’s acceleration during the first 6.0 seconds? During 6.0 -12 seconds? Does the player have larger acceleration during the first 6.0 seconds of motion, or last 6.0 second of motion? (show your work)The kinematical graphs of a person riding her bicycle are shown below. Time is measured in second, velocity in m/s and acceleration in m/s2. Assume that she starts at x=0. Describe the motion of the bicyclist (direction of velocity and whether the velocity is constant, increasing and decreasing) during each 1s interval from 0-4 s using the graph. Draw the position – time (x-t) graph of this motion. This is qualitative only, showing the shapes of the x-t curves in each interval and need not be drawn to scale. Draw the acceleration – time graph (a-t graph) for this motion. Draw this graph showing the values of acceleration in m/s2. What is the displacement of the bicyclist from 0-4 s. What physics principle did you use? Show your work.When given a position vs. time graph, draw the corresponding velocity vs. time and acceleration vs. time graphs.
- The elevator in an office building starting from rest at the first floor accelerated 0.75m/s² for 5 seconds. It continues at constant velocity for 12 seconds more and is then stopped in 3 seconds with constant deceleration. If the floors are 3.75m apart, at what floor did the elevator stop? Draw a graphA rock is dropped from a bridge to the water below. It takes 5.25 deconds for the rock to hit the water. What is the velocity of the rock as it hits the water in metres per second? How far from the water is the bridge (in units of metres to 3 decimal places)? State at the start of the problem which direction is positive (using the up arrow or down arrow) Make a list of all given values, units, and variables they represent. Write the general form of the equation you are going to use. Insert the known variables and solve.What are the similarities and differences in average speed and velocity and how are these related to instantaneous speed and velocity. Also include graphical interpretations.