I have a few homework questions involving some kinematics equations, vectors, etc. I was hoping I could some help with them. My first question: An arrow strikes a target in an archery tournament. The arrow undergoes an average acceleration of 1.37 x 10^3 m/s^2 [W] in 3.12 x 10^-2 s, then stops. Determine the velocity of the arrow when it hits the target. I tried this, and my answer didn't match the one in the book, I started with this: v_2 = v_1 + at And I wasn't sure this was even the right equation, or how to stick the numbers in. Time and acceleration were easy to substitute in, but then I didn't know what to do with the two velocities, one of which, I'm assuming is 0 m/s. Another problem I have reads as follows: Starting with the defining equation for constant acceleration and the equation for displacemnt in terms of average velocity, derive the constant aceleration equation a) from which final velocity has been eliminated b) from which initial velocity has been eliminated I got about as far as picking the equations that it says to start with: a = (v_2 - V_1)/t and v = d/t I''m not sure what to do next, please help me figure this out. Another one went as follows: A watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s^2 for 2.5 s. What is the final velocity of the watercraft? I got confused by this, because the acceleration is perpendicular to the velocity, and so I wasn't really sure how to start, any help would appreciated. Lastly(I hope), is this one: A hockey puck rebounds from a board as shown in figure 16. The puck is in contact with the board for 2.5 ms. Determine the average acceleration of the puck over the interval. Figure 16 shows the puck hitting the board with a velocity of 26 m/s 22 degrees from the board, and then rebounding off at the same angle with a velocity of 21 m/s. I really wasn't sure how to go about starting this, so any guidance here would be appreciated.