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Module 5 - Discussion: Application CIN ProblemsA spacecraft moves along a path described by the parametric equationsx=10(√1+t4−1), y=40t32for the first 100 sec after launch. Find the magnitude and direction of the velocity and the resultant acceleration of the spacecraft 12 seconds after launch.41°1+t4¿32¿a=dVdt=20t2(t4+3)¿.
12¿2(124+3)¿1+124¿32¿¿20¿¿¿a=dVdt=30√t¿30√12≈8.66a=dVdt=6012√t=30√t¿30√12≈8.66θ=tan−1(8.6620)≈23.41°=23°The magnitude of the velocity at 12 sec. is 21.79meters/sec; the direction is 23°.