Given that the acceleration vector is a(t)=(−1cos(−t),−1sin(−t),2t)a(t)=( −1cos⁡(−t),−1sin⁡(−t),2t), the initial velocity is v(0)=(1,0,1)v(0)=(1,0,1), and the initial position vector is r(0)=(1,1,1)r(0)=(1,1,1), Compute:a. The Velocity Vector v(t): _ i + _ j +_kb. The position vector r(t): _i + _ j + _k

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?