Question

Vector function problem(Calculus 3)

8) A soccer ball is kicked from the point F(0) (0,0,0) with an initial velocity of v(0)(0,80,80) ft/s. The spin on the ball produces a constant acceleration of 1.2 ft/s2 in the x-direction. (Hint: The acceleration due to gravity is g 32 ft/s2. It acts in the downward/negative z direction. So the total constant acceleration on the ball is a(t) (1.2,0,-32).) 0 a) Find the velocity and position vectors for t b) Make a sketch of the trajectory on the graph below. Let each tic mark represent 100 ft. c) Where does the ball land, and what is the maximum height of the trajectory?

Answer 1

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