Chart Title y = 4.4444x - 2 40 35 30 25 20 15 10 4 6. 8. 10 time position
Q: A toy car moves along the x axis, and its velocity as a function of time is plotted below. Take the…
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A: Given : Initial speed = 2 m/s Acceleration = 1.4 m/s2 Final speed = 12 m/s
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Q: 2. A cow accelerates from rest until reaching a speed of 6.0 m/s. A graph of the cow's velocity over…
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Q: Task : Complete the table below. Make a graph of the position vs time, and velocity vs time, then…
A: v1 = (x2-x1)/(t2-t1) a1 = (v2-v1)/(t2-t1) Time ,t(s) Displacement ,x(m) velocity ,v(m/s)…
Q: 5) As a better estimate of the velocity of the cart when t= 3.0 seconds, find the average velocity…
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- Write the equation of the line of best fit in the graph above. You can also use Microsoft Excel to do that.
- What is the slope of the line of best-fit (please provide units) and what physical quantity does it represent?
- Use the appropriate
kinematics equation to connect the slope of the line with the quantity it represents. Show your steps. - Using the value of the slope, calculate the acceleration of your selected car.
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- Sketch instantaneous acceleration vs. time graphs for a cart moving (1) with a constant acceleration, (2) with increasing acceleration, and (3) with decreasing acceleration. Write down the equation that best represents each of these graphs. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Which graph do you think best represents a cart rolling down an incline? Write down a relationship between the acceleration and the velocity of the cart. Use this to sketch a rough graph of instantaneous velocity vs. time for each of the three accelerations you drew in question one. Write down an equation that best represents each of these graphs*. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Which graph do you think best represents the velocity of a cart rolling down an incline? *SOLVE BOTH*REMEMBER TO DRAW AND FULLY LABELLED DIAGRAMS WITH: LABELS (m,v,F, ……) MAGNITUDE UNITS DIRECTION AN INDICATION of the positive (x and y) directions INCLUDE A SUMMARY SENTENCE MAKE DIAGRAMS A REASONABLE SIZEYou decide to play a trick on your friend using a giant water balloon as shown in the figure attached below. The balloon is dropped (no initial velocity) from a height of 42.79 meters. At the exact moment, you drop the balloon your friend throws a rock straight up to strike and burst the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero. Convert the rock's initial velocity into proper units. v0(rock) = ? meters/second Write an equation for the y of the balloon at any time. yballoon(t) = Write an equation for the y of the rock at any time. yrock(t) = Determine the time at which the rock and balloon collide. tcollision = ? seconds. NOTE: The equations you input should have all numbers, except for the letter t. Examples of correct format (but not the right answers): 6.25 + 4.12t -4.9t2 12t -18t3 14 - 6t 666 + 666t + 666t2
- Use the scenario below to answer questions 1-2. Rex decides to launch a priceless vase into the air at a 90-degree angle. The initial velocity of the vase is +7.0 m/s. 1. Dylan claims that the vase would achieve a higher height if it were launched at a 45-degree angle. Is Dylan correct? A. Dylan is correct because a 45-degree launch angle results in the largest vertical range. B. Dylan is correct because larger launch angles result in a smaller vertical range. C. Dylan is incorrect because a 90-degree and 45-degree launch angle result in the same vertical range. D. Dylan is incorrect because a 90-degree launch angle results in the largest vertical range. e Education TM Inc.Solve the problem below (E12) AND use the photo of the five steps to solve it.Directions: Select all the correct locations on the table. Brett and Jenny were comparing roller coaster data from around the world. The table below shows the information they gathered. Calculate each roller coaster's rate. Use this information to determine which roller coasters have a proportional relationship and select the corresponding rows on the table. Length of Track (feet) Roller Coaster Time of Ride (minutes:seconds) Boomerang Greased Lightning 963.9 1:03 849.5 0:33 Space Mountain 3281.2 2:05 Rajun' Cajun 1377 1:30 Flight of Icarus 1147.5 1:15
- Instruction: Solve the problem below. Show the formula used and the solution.Next diagram shows relationship between and of a body moving along shown path. Let me see physical touches in your answer, not just mathematical notes. (i) Find the average acceleration of the object during the time intervals (0-5) s, (5-15) s, (0-20) s. (ii) Find the instantaneous acceleration at 2 s, 10 s, 18 s (iii) Find the displacement between (10-20) s.Consider the plot shown below. Which description below is consistent with the graph? position a b C time The object moves in the positive direction and then moves in the negative direction. The object moves upwards, reaches its peak and then falls with an acceleration. The object accelerates in the positive direction and then in the negative direction.
- You stand on the top of a tall building and throw a baseball directly downwards. When the baseball leaves your hand, it has a speed of 6 m/s. (Assume there is no air resistance for this problem) a. Four seconds after you throw it, what is the acceleration of the baseball? Show your work and explain your steps. b. Four seconds after you throw it, what is the velocity of the baseball? Show your work and explain your steps.HelpDescribe the motion of a rocket using a quadratic model. Instructions: Respond to each of the questions. Your solutions must document all of your work. Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec. Use the general formula for the vertical position (height) of an object moving under the influence of gravity where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2. Graph your equation with time on the horizontal axis and height on the vertical axis. Let the values for time range from 0 to 10 seconds and the values for the height range from 0 to 200 feet. Include your graph in this response. Refer to your graph in Question 2. Explain what the vertex, x-intercept, and y-intercept represent in…