Use the following information to solve i. and ii. Initial velocityu Angle of Time of fight to apex of trajectory (uSineyg Total time of fight t- (2usineyg Range to apex of trajectory - (uSin2yag Total range s= (usinzevg Max atitude h- (uSin e2g) Using simulation of 3 different angles and use graphs to show that the maximum range can only be achieved at angle 45 degrees if u is a constant. Explain your solution in i. ii.
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- Please help me answer this. Thank you! Based on the given in picture, are there any two angles which will give the same range? If so, what are they? If not, why not? Plot a graph of launch angle range. What is the best launch angle for maximum range?For the following exercises, use this scenario: A dart is thrown upward with an initial velocity of 65 mm per second at an angle of elevation of 52°. Consider the horizontal and vertical positions of the dart at any time t. Neglect air resistance. Discuss why this situation can be modeled using parametric equations. Discuss how you determined all possible values for t that represent the situation. What do maximum and minimum values of the parametric equations represent in this context?A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
- Solve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER Ariana is throwing pebbles gently up to Aira’s window, and he wants the pebbles to hit the window with only a horizontal component of velocity. Ariana is standing at the edge of a garden 5.75 m below the window and 7.0 m from the base of the wall. How fast are the pebbles going when they hit Aria’s window?In Peter Jackson's adaptation of The Two Towers, the wizard Gandalf falls from the Bridge of Khazad-dûm for a total screen time of 71 seconds. Darren wanted to calculate the maximum height the fall could have been and running the numbers concluded that it could be at most 4.94 km from the bridge to the heart of the mountain below. Is Darren's conclusion a fair estimation of the total fall distance?Be sure to:*State your claim with disagreeing with 4.94 km being a reasonable height for the fall.*Gather evidence from your choice of a combination of your own calculations and observations from the film (lord of the rings -Gandalf vs Balrog entire battle HD) *Connect your evidence to your claim by reasoning why it supports your claim. Any evidence you share should be directly linked with your reasoning to why or why not 4.94 km or 4,940 m is a reasonable estimate for the falling distance. Use the equation x=vit+1/2at^2 to solve show all calculations and givens. Givens x= want t= 72 sec…I need help answering this quadratic word problem, thanks in advance At the national spitting competition, contestants were lined up on top of a tall building. The winning projectile was projected off the top of the building in a trajectory defined by the following equation where the height (h) is in metres above the ground and time (t) is in seconds since the projectile was launched. h=-4.9t^2+29.4t+37.9 Show all work when answering the following (no guess and check allowed): a) If the mouth of the person who launched the winning projectile was 1.6 metres above the roof of the building, how tall was the building? b) To the nearest tenth of a second, how long was the projectile in the air before it hit the ground? (Nearest tenth of a second = one decimal place) c) To the nearest tenth of a second, determine how long the projectile was at or above 80m in height.
- I am working on finding the inital velocity of a class II projectile and am having trouble determining the right amount of sig figs. The taken measurements of the initial position of x goes to 4 sig figs, as well as the final position for y. With that being said, I am trying to find the initial velocity of x and y separately through trionometry. For example, if I have an equation for the initial velocity of x with an angle of 40, then Vox=Vocos40 My question is, since the measured value for my angle is two significant figures, is my answer Vox=.76Vo also in two sig figs because it goes by the two significant figures from my measured angle, or should I go to four significant figures to match my measured values for x and y?How will you Compare and contrast the magnitude of range, total flight of time and the maximumheight corresponding to the different angles of projection.Identify the given quantities, unknown quantities, and equations to solve the given problem. Show your encoded solution with and answer . Please don't handwrite it. This is not graded. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine the time of flight, the the horizontal distance, and the peak height of the long-jumper.
- Amanda kicked a soccer ball towards the goal with an initial velocity of 28 m/sec at an angle of 15 degree with the horizontal a) write parametric equations for the path of the soccer ball b) when will the ball reach the goal which is 5 meters away? Show your set-up. Indicate unites of measure c) If the goal is 2.4 meters high, will this be a goal? Expain your answer?Use (g= -9.8 m/s/s) What was the average total time of your tossed directly into the air object? The average total time of my object tossed directly into the air object was 0.66 seconds. 2. What was the initial velocity of the object as it left the thrower's hand? (Use the image attached to solve this replacing the time with 0.66 seconds). 3. What was the maximum height reached above the thrower's hand?What is the slope of each of the labeled lines and what's the velocity at each line?