2. A projectile is launched from point A with the initial conditions shown in the figure. Determine the slant distances which locates the point B of impact. Calculate the time of flight t. Answer: s= 1057 m, t = 19.5 s Vo = 120 m/s 0 = 40° -800 m B 20°
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- 24. A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80- m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the magnitude of the velocity of the shell as it hits the ground? Hint: you need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter. 80 m 1330 m A) 4.0 m/s B) 9.8 m/s B) 9.8 m/s C) 82 m/s D) 170 m/s (E) 332 m/sA projectile is launched from point A with speed Vo = 22 m/s. Determine the value of the launch angle a which maximizes the range R indicated in the figure. Determine the corresponding value R. 22 m/s A 22.3 m 35 m R-A soccer player kicks a ball with an initial velocity of 10 meters per second at an angle of 30 degrees above the horizontal. The magnitude of the horizontal component of the ball's velocity is Select one: O a. 10 m/s O b. 8.7 m/s O c. 5.0 m/s O d. 9.8 m/s
- 2. A group of students conducted a projectile experiment in which they fired a projectile at an unknown angle with varying speed. Students took the following data for projectile range and speed. Determine: a. What kind of graph comes out if initial velocity vs. range is plotted? R(m) Volm/s) 0.2 1.71 0.4 2.42 0.6 2.97 0.8 3.43 3.83 1.2 4.2 1.4 4.53 1.6 4.84 1.8 5.14 2 5.42 b. What is the linearization method for this graph? c. Make the linearized graph and determine its slope with its units. d. Determine the initial angle at which the projectile was launched.6 m/s 39° 1 m 1. A cat jumps off a dresser that is 1 m high. The initial velocity of the cat is 6 m/s at an angle of 39° above the horizontal. How far out from the edge of the dresser does the cat strike the floor? Show your calculations. Refer help sheets next page.Doha kicks the ball in a parabolic path. The ball leaves the player’s foot with a speed of 20 m/s, making an angle of 40 o with the horizontal. a) Calculate the maximum height of its trajectory b) Determine its velocity as it hits the ground again. Air resistance is negligible. c) How far from Darshan does the soccer ball land?
- 3. Consider a ball undergoing a 2D projectile motion, whose position (unit: m) as a function of time (unit: s) is 3(t) = tî + (V3t – 5t²)ĵ, where t stands for time. (a) Find the initial launch angle of the projection. (b) Find the speed of the ball when it lands on the ground.5. A projectile is launched at an angle of 50° with the horizontal and a speed of 25 m/s. a) What is the Range of the projectile? b) What is its height after 1.5 second?A projectile is launched at an angle of 30°to the horizontal from 6.5 ft above the ground at an initial speed of 100ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Determine the time of flight and range of the object. c. Determine the maximum height of the object.
- Consider (Figure 1). Figure 00 6 m O 3 m ▾ ▾ Part A Determine the minimum initial velocity at which the ball must be kicked in order for it to just cross over the 3-I high fence. Express your answer using three significant figures and include the appropriate units. v0 = Submit Part B 0 = Value Submit Request Answer Provide Feedback Determine the corresponding angle at which the ball must be kicked. Express your answer in degrees using three significant figures. ΜΠΑΣΦ 41 vec 4 → CE ? → Request Answer E ? Units OQuestion 3