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- 3. F(t) = 2ti - 2tj + tk3. A soccer ball is rolling along the ground with a velocity of (27 m/s) ŷ. While staying on the ground, the ball then experiences a constant acceleration of (-8.1 m/s²) x. Assume the ball is at the origin when this acceleration is first applied. (a) What are the ball's x- and y-coordinates of its position 6.0 s later? (b) What are the x- and y-components of the ball's velocity at this time? Note, the ball remains on the ground throughout this problem.3. A rocket was launched with a speed v = 150 m/s and an acceleration of 425 m/s² at an angle a = 80°, determine the rocket's rate of increase in speed and its normal acceleration. Also, determine the radius of curvature of its path.
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