5 At t = 0 s, a particle is at position x = -2 m. Its velocity for t > 0 is shown in the graph below. The motion is one-dimensional. A) What is the particle's position att = 8 s? As always, show your work. If you see a quick way to answer this question, take it! Just explain your reasoning. B) Calculate the particle's acceleration at t = 10.5 s. Is the particle speeding up or slowing down at this time? v (m/s) 5.0 8.0 t (s) 1.0 3.0 4.0 6.0 9.0 11.0
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- Using what's given below, answer the following parts for practice: Ansdrew needs to get produce from the store, which is a distance d=2.87 km east of his condo. Andrew rides his bicycle to the store at a constant speed of v1= 6.19 m/s, and rides back to his condoat the slower speed of v2=2.22 m/s. The figure below is not drawn to scale. Part A: How long, in seconds, does it take for Andrew to reach the store? And how long in both seconds and minutes does the whole trip take? Part B: What total distance, in kilometers, was traveled by Andrew during the whole trip? Part C: What is the magnitude, in kilometers, of Andrew's displacement for the entire trip and what was the direction of his displacement for the entire trip?PLEASE ANSWER ONLY LETTER EThe position of a particle is given by the equation s(t) = t3 − 6t2 + 9t, where t is in seconds and s in meters.a) What is the velocity after 2 s? After 4 s?b) Find the instant when the particle reverses directionc) Determine the time intervals when it is moving to the LEFT? RIGHT?d) Find the initial position and the positions when it changes directione) Draw a diagram to represent the motion of a particle.1. 1. Draw a graph of velocity as a function of time2. Determine the following from your graph:(a) The change in velocity per unit change in time (i.e. acceleration of the ball). Illustrate onyour graph and show the calculation below. (b) The velocity at t = 0.84 s (interpolation). Illustrate on your graph and write the value below.(c) The velocity at t = 1.74 s (extrapolation). Illustrate on your graph and write the value below.(d) Set up an empirical equation for the velocity of the ball at different times. This equationshould use the numerical values of the constants and indicate their units.
- 1. Using the position-time graph below, calculate the velocity (slope) for each time interval below.Show all your work including directions and units A) Velocity from pointA to B B) Velocity from B to C C) Velocity from C to DEliana likes to use an app to graph her runs. The graph below shows her run from her house to the park and back. a. Write a description of Eliana’s graph. b. What was Eliana’s running speed from her house to the park? Give Units. c. What was Eliana’s running speed 25 minutes after she started her run? How does your answer relate to the slope of the graph? d. What was Eliana’s running speed from the park to her house?1) Let d represent a distance of 3.00 m, and T represent a time of 4.00 s.Determine the magnitude of Marta's average velocity over the entire 5T time interval shown on the graph. 2) Continuing with the numbers from part (1), determine Kadeisha's average speed over the entire 5T time interval shown on the graph._______ m/s 3) Calculate Kadeisha's speed as she is in the process of tagging Marta._______ m/s *please show work*
- A particle travels with velocity v= (8m/s^2) t-7m/s. A.)find the average acceleration for two 1-s intervals, one beginning at t=3s and the other beginning at t=4s. B.)sketch v versus t. What is the instantaneous acceleration at any time? Please show your complete solution and answer all. write your solution clearly and readable. Thank you.solve the following problem below. provide a complete solution with G (given), U (unknown), E (equation), and S (solution). As in the previous example, imagine that Lydia de Vega attained a speed of 6 m/s after 2 s from the start of the race. Solve the following problems using the given information: a.) What is her average acceleration during this time interval? b.) Suppose she attained a speed of 10 m/s after 8s from the start of the race. What is her average acceleration during the 2 to 8 second time interval? c.) Suppose at 8s from the start of the race, she slows down to a speed of 7 m/s for 2s. What is her average acceleration for this time interval?Draw a velocity versus time graph for an object whose constant velocity is 15 m/s and whose position starts at x= 0 when t = 0 Graph the motion for the first 5.0 seconds. A.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 1 to 3 seconds? B.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 3 to 4 seconds? C.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 5 to 6 seconds?
- Directions: Answer the given problem-solving using the step by step procedure. C. A juggler tosses 3 balls alternately vertically upward. Each ball has an initial velocity of 5m/s. How high does each ball rise? How long does each ball remain in the air? 1. Draw a simple sketch. 2. Identify the known values or given. 3. Identify what is being asked or the unknown value. 4. Determine what equation to be used. 5. Substitute the known values to your equation. What will be your final answer?How would you expect a velocity vs. time graph to look for a cart moving with a constant velocity? Make a rough sketch of the graph and explain your reasoning. Write down an equation for the graph. Explain what the symbols in each of the equations mean. What quantities in these equations can you determine from your graph? Write down the relationship between the position and the velocity of the cart. Use that relationship to construct an position versus time graph just below each of your velocity versus time graphs from question 1, with the same scale for each time axis. Write down an equation for the new graph. Explain what the symbols in each of the equations mean. What quantities in these equations can you determine from your graph?As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank recently purchased by the artillery. Field testing has revealed the following information: 1) The tank moves from rest to a speed of 70 ??/ℎ? in 10 seconds. 2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 ??/ℎ? in 5 seconds. You are required to address all the questions below providing all calculations, graphs, and explanations as appropriate to back your answerFirst: 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 (mile/hr) so that the information could be shared with experts from the US. Second: Motion of the fired bomb: The tank is to be placed on a hill that is 1 km high above the ground. The enemy’s base is located at a horizontal distance of 10 km away and it is in a…