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4.) An object is made to travel along a path 3: = x3 and an observer sees that it is travelling horizontally at :i: = 12:3 ? where t is in seconds. 1ll'v'hat is the magnitude and vector equation of the aoceieration and velocity after half a second? 5.} A toy spaceship is attached by a string to a ceiling fan and as the fan rotates, the spaceship travels at v = 2%. What is the magnitude and vector equation of the acceleration in 21, if the fan blade is 300 mm and the string is 50 mm? 6.} A toy spaceship hangs by a string from a ceiling fan and as the fan rotates, the spaceship travels at v = 2 ? What is the angular velocity if the fan blade is 300 mm. and the string is 50 mm? Read the questions carefully before answering. Show complete solution with proper derivatives/integrals and units. Box or indicate your final answers when solving. Use 2 decimal places for final answers