The position of a bird in the xy-plane is given by f = (4.0m-xt?)i+ Btj where x= 2.5 m/s2 and B = 5 m/s . What is the magnitude of bird's net velocity at 2.0 s? O4.0 m/s O7.1 m/s O 11.2 m/s 15 m/s O-5.0 m/s
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- (a) If a person can jump a maximum horizontal distance (by using a 45 projection angle) of 3.0 m on Earth, what would be his maximum range on the Moon, where the free-fall acceleration is g/6 and g = 9.80 m/s2? (b) Repeat for Mars, where the acceleration due to gravity is 0.38g.1. A golfer hits a golf ball on a flat, horizontal surface with an initial velocity of 67.7 m/s @ 45°. Calculate the following: (a) Vox and Voy. (b) The time it will take the ball to reach maximum height. (c) The maximum height the ball will rise to. (d) The total air time of the ball. (e) The range of the ball. (f) The position (x,y) of the ball at t=1.0s. (g) The components of velocity of the ball (Vx, Vy) at 1.0s. (h) The velocity vector of the ball at 1.0s. (i) The velocity vector of the ball just as it hits the ground.1b. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. What are the components of the initial velocity? v0x = ____m/s v0y = ____m/s
- 49. Given these two velocities, C = (4î +2ĵ -2k̂) m/s and E= (5î -4ĵ +5k̂), find the magnitude of the velocity, v= 2C –E. a. 12.4 m/s b. 17.0 m/s c. 21.0 m/s d. 27.6 m/s1. A golfer hits a golf ball on a flat, horizontal surface with an initial velocity of 67.7 m/s @ 45°. Calculate only (h) and (i): (a) Vox and Voy. (b) The time it will take the ball to reach maximum height. (c) The maximum height the ball will rise to. (d) The total air time of the ball. (e) The range of the ball. (f) The position (x,y) of the ball at t=1.0s. (g) The components of velocity of the ball (Vx, Vy) at 1.0s. (h) The velocity vector of the ball at 1.0s. (i) The velocity vector of the ball just as it hits the ground.A projectile is fired from the origin (at y = 0 m) as shown in the figure. The initial velocity components are V0x = 280 m/s and V0y = 44 m/s. The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q. In the figure, the y-component of the acceleration of the shell at point P is closest to: +5 m/s2 -5 m/s2 +10 m/s2 -10 m/s2 zero
- A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +2.5 m/s and ax = +7.8 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +8.4 m/s and ay = -5.5 m/s2. Find (a) the magnitude v and (b) the direction θ of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.0 m/s. The cliff is h = 36.0 m above a flat, horizontal beach. (a) What are the coordinates of the initial position of the stone? x0: y0: (b) What are the components of the initial velocity? v0x: v0y: (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx: vy: (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x= y= (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf= 0-: (theta):A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 19.5 m/s.The cliff is h = 71.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0 = m y0 = m (b) What are the components of the initial velocity? v0x = m/s v0y = m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx = vy = (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x = y = (e) How long after being released does the stone strike the beach below the cliff? s(f) With what speed and angle of impact…
- a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo=18,5 m/s. the cliff is h=49.0 m above a flat, horizontal beach. this is a sub-par solution. (e) How long after being released does the stone strike the beach below the cliff. give answers in seconds?. (f) with what speed and angle of impact do the stone land? vf= in m/s 0= degree below the horizontal ( give answers in that form)4. What is the horizontal acceleration component of an object in projectile motion?A. 9.8 m/s^2 C. 0 m/s^2B. -9.8 m/s^2 D. 12 m/s^26. Which of the following is a scalar?A. Displacement C. VelocityB. Distance D. Force7. If John moves leftward 8 meters, what is true about his displacement?A. His displacement is zero C. His displacement is positiveB. His displacement is negative D. None of the aboveA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0 m y0 m (b) What are the components of the initial velocity? v0x m/s v0y m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx vy (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x y (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf m/s θ…