A spacecraft moves along a path described by the parametric equations shown below for the first...

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A spacecraft moves along a path described by the parametric equations shown below for the first 200 s after launch. Here, x and y are measured in meters, and t is measured in seconds. Find the magnitude and direction of the velocity of the spacecraft 20.0 s and 200 s after launch. x= 10 (√1+¹ -1), y = 2013/2 What would be the first step in finding the velocity of the spacecraft at a given time? A. Find the values of x and y for the given value of t. B. Differentiate y with respect to x. C. Use the fact that distance = rate x time. D. Differentiate the x- and y-position components to get the x- and y-velocity components. Find the magnitude of the velocity of the spacecraft when t=20.0 s. The magnitude is approximately m/s. (Round to the nearest integer as needed.) Find the direction of the velocity of the spacecraft when t=20.0 s. Enter an angle 0 such that 0° 0 < 360°. OA. The direction is approximately (Type an integer or decimal rounded to one decimal place as needed.) OB. The answer is undefined. Find the magnitude of the velocity of the spacecraft when t = 200 s. The magnitude is approximately m/s. (Round to the nearest integer as needed.) Find the direction of the velocity of the spacecraft when t=200 s. Enter an angle 0 such that 0° ≤0 < 360°. OA. The direction is approximately (Type an integer or decimal rounded to one decimal place as needed.) B. The answer is undefined. A spacecraft moves along a path described by the parametric equations shown below for the first 200 s after launch. Here, x and y are measured in meters, and t is measured in seconds. Find the magnitude and direction of the velocity of the spacecraft 20.0 s and 200 s after launch. x= 10 (√1+¹ -1), y = 2013/2 What would be the first step in finding the velocity of the spacecraft at a given time? A. Find the values of x and y for the given value of t. B. Differentiate y with respect to x. C. Use the fact that distance = rate x time. D. Differentiate the x- and y-position components to get the x- and y-velocity components. Find the magnitude of the velocity of the spacecraft when t=20.0 s. The magnitude is approximately m/s. (Round to the nearest integer as needed.) Find the direction of the velocity of the spacecraft when t=20.0 s. Enter an angle 0 such that 0° 0 < 360°. OA. The direction is approximately (Type an integer or decimal rounded to one decimal place as needed.) OB. The answer is undefined. Find the magnitude of the velocity of the spacecraft when t = 200 s. The magnitude is approximately m/s. (Round to the nearest integer as needed.) Find the direction of the velocity of the spacecraft when t=200 s. Enter an angle 0 such that 0° ≤0 < 360°. OA. The direction is approximately (Type an integer or decimal rounded to one decimal place as needed.) B. The answer is undefined.

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