Question: A spacecraft moves along a path described by the parametric equations x = 10 ( square root(1 + t^4) 1 ) , y = 40

A spacecraft moves along a path described by the parametric equations

x = 10 ( square root(1 + t^4) 1 ) , y = 40 t^3 2

for the first 100 sec after launch. Here, x and y are measured in meters, and t is measured in seconds. Find the magnitude and direction of both the velocity and the resultant acceleration of the spacecraft 13 seconds after launch. Round answers to one decimal place.

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