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A spacecraft has an initial speed of 3308 m/s at an angle of 42 degrees above the positive x axis. Two engines fire for 9.15 seconds, and produce an acceleration of 8.3 m/s/s at an angle of 39.5 degrees above the positive x axis. What is the velocity of the spacecraft when the engines shut off? What is the angle from the positive x axis?
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- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?Irina, standing on the edge of a cliff, throws a stone at a 40-degree angle above the horizontal with an initial speed of 10.0 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 63 m/s. If Irina were to throw the other rock at a 40-degree angle below the horizontal from the cliff instead, with the same initial speed of 10.0 m/s, what is the magnitude of the velocity of the stone just before it hits the ground? Ignore any effects of air resistance
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