In what reasonable ways can you represent or describe the motion of a car traveling from one stoplight to the next? Construct each representation for the moving car.
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In what reasonable ways can you represent or describe the motion of a car traveling from one stoplight to the next? Construct each representation for the moving car.
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- A plane leaves Seattle, flies 85.0 mimi at 20.0 ∘∘ north of east, and then changes direction to 51.0 ∘∘ south of east. After flying at 125 mimi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew. A.) In what direction should the crew fly to go directly to the field? Use components to solve this problem. B.) How far should the crew fly to go directly to the field? Use components to solve this problem.A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 12 minutes. revolves diameter ground A Ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h= Number meters Period: P = Number minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t = 0. Find a formula for the height function h (t). Hints: . What is the value of h (0)? • Is this the maximum value of h (t), the minimum value of h (t), or a value between the two? ● The function sin (t) has a value between its maximum and minimum at…A child rides a pony on a circular track whose radius is 4.5 m.(a) Find the distance traveled and the displacement when the child has gone halfwayaround the track.(b) How does the distance traveled change while the child completes one circuit of thetrack? Explain.(c) How does the displacement change while the child completes one circuit of thetrack? Explain.(d) Find the distance and displacement after a complete circuit of the track.
- 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 .A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 10 minutes. revolves diameter 1 meter ground A Ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h : Number meters Period: P = Number minutes b. Find a formula for the height function h (t). c. How high off the ground is a person after 47.5 minutes? NumberTask V:As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tankrecently purchased by the artillery.Field testing has revealed the following information:1) The tank moves from rest to a speed of 50 ??/ℎ? in 100 seconds.2) Using the breaking system, the tank is brought to a complete stop from a speed of 50 ??/ℎ? in 5 seconds.3) The maximum speed achievable by the tank is 90 km/hr.You are required to address all the questions below providing all calculations, graphs, and explanations asappropriate to back your answers. Hint: make sure you are using consistent unitsFirst: Motion of the tank:a) Find the average driving acceleration of the tank.b) Calculate the average breaking acceleration of the tank.c) For parts (a) and b above parts report your answers in US Customary Units so that the information could beshared with experts from the US.d) How long would it take the tank to travel a distance of 12 km. Assume constant acceleration equal…
- Many handicapped individuals struggle using electric wheelchairs. Researchers used Bayes' rule to assess a “intelligent” robotic controller that attempts to record a wheelchair user's intent and assist in navigation. Consider the situation below. A wheelchair user may either (1) turn abruptly left and approach a door, (2) go straight to the opposite side of the room, or (3) turn slightly right and halt at a table. D (for door), S (straight), and T (for time) (for table). P(D) = 0.4, P(S) = 0.25, and P(T) = 0.35. The wheelchair has a joystick operated by a robot. The user directs the joystick straight 50% of the time while going through the door, 30% of the time when going straight, and 25% of the time when going to the table. What is her most likely destination, calculate based on P(D|J), P(S|J) and P(T|J)?You are on the plane neptune and want to determine the acceleration due to gravity, g. You have a stopwatch and a toy gun that can launch a ping pong ball vertically upwards with an initial velocity of 7.5 m/s. Describe, in words, how you would perform an experiment to determine the acceleration due to gravity. Be sure to describe the variables you would measure, the equations you would use and the assumptions you would make. Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Thanks!A proton moves in a horizontal line according to the function s (t) = 4t³ – 6t + 3 t ≥ 0, where t 9 is measured in seconds, and S is measured in inches. Answer the following questions labeling your answers with proper units, if appropriate. a. Find the velocity of the proton at time t. b. Find the acceleration of the proton at time t. c. At what time t is the proton moving at a rate of 6 inch/s? d. At what time t is the proton at rest? You may give your answer either in exact form or rounded to 4 decimal places.
- A plane flying at 78.2 m/s [W32°S] takes 42 seconds to change its velocity to 78.2 m/s [S32°E]. a) Solve for the change in velocity of the plane algebraically, resolving vectors into their x- and y-components. b) What was the average acceleration of the plane over this time interval? c) Explain why the speed of the plane didn't change and yet the plane underwent acceleration. Please label sketches with events as well as GRASS and explanations to show your work. Please label triangle sides. Remember to have the magnitude rounded to a reasonable number of sig figs, the unit and the direction (if needed) in your answers.A car starting from rest picks up at a uniform rate and passes three electric posts in succession. The posts are 360 m apart along a street road. The car takes 10 s to travel from the first post to the second post and 6 seconds to go from the second post to the third post. a. Set up the equations of motion that is required to solve the problem. b. Where did the car started from the first post?A. From the perspective of point x, vector a and vector b are approaching with around the same speed. From Joseph's perspective, the two are walking with around the same speed. Determine if vector a is approaching with the same speed, twice the speed, or half the speed from the perspective of vector b. Explain.B. Vectors x and y are moving with uniform velocities. If the image below is t = 0, how long will it take (in seconds) for vector x to be in the same position with vector y? How far should vector x have traveled (in meters) by the time it has overtaken the position of vector y? Show proper solution.