all of the following questions: 1.) You throw a ball upward with an initial speed of 4.6 m/s. When it returns to your hand 0.94 s later, it has the same speed in the downward direction( assuming air resistance can be ignored) a) What was the average acceleration vector of the ball? 2.) As a train accelerates away from a station, it reaches a speed of 4.7 m/s in 5.4 s. a) If the train's acceleration remains constant, what is its speed after an additional 5.5 s has elapsed? Express your answer in meters per second. 3.) A particle has an acceleration of +6.29 m/s^2 for 0.370 s. At the end of this time the particle's velocity is +9.31 m/s. What was the particle's initial velocity? 4.) Starting from rest, a boat increases its speed to 4.92 m/s with constant acceleration. a) What is the boats average speed? b) If it takes the boat 4.77 s to reach this speed, how far has it traveled? 5.) Approximately 0.1% of the bacteria in an adult human's intestines are Escherichia coli. These bacteria have been observed to move with speeds up 15 um/s and maximum accelerations of 166 um/ s^2. Suppose an E. coli bacterium in your intestines starts at rest and accelerates at 152 um/s^2. a) How much time is required for the bacterium to reach a speed of 12 um/s? b) How much distance is required for the bacterium to reach a speed of 12 um/s