5. The position of an object as a function of time is given by x =  - ct, where and x and t are in SI units. What is the instantaneous velocity of the object when A foul ball is hit straight up into the air with a speed of 30.0 m/s.(a)Calculate the time required for the ball to rise to its maximum height.(b)Calculate the maximum height reached by the ball.(c)Determine the time(s) at which the ball passes a point 25.0 m above the point of contact between the bat and ball.

6.   The package is dropped from a helicopter moving upward at  If it takes before the package strikes the ground, how high above the ground was the package when it was released if air resistance is negligible?

7.An object has a position given by  = [2.0 m + (3.00 m/s)t] +, where all quantities are in SI units. What is the magnitude of the acceleration of the object at a time? 

8. A boy throws a rock with an initial velocity of at 30.0° above the horizontal. If air resistance is negligible, how long does it take for the rock to reach the maximum height of its trajectory?

9.  A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance of 6.00 m across the floor. What was the initial speed of the ball?

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Vector A has a magnitude of 5.5 cm and points along the x-axis. Vector B has a magnitude of 7.5 cm and points at +30° above the negative x-axis. (a) Determine the x and y components of vector A. (b) Determine the x and y components of vector B (c) Determine x and y components of the sum of these two vectors. (d) Determine the magnitude and direction of the sum of these two vectors. Vector A has a magnitude of 5.5 cm and points along the x-axis. Vector B has a magnitude of 7.5 cm and points at +30° above the negative x-axis. (a) Determine the x and y components of vector A. (b) Determine the x and y components of vector B (c) Determine x and y components of the sum of these two vectors. (d) Determine the magnitude and direction of the sum of these two vectors.