Solve the following problems completely: Draw the graph and show your complete solution: 1. The motion of a particle traveling along the x axis is described by the equation 1 = a + bt1 where a = 21] m and h = 4 mist. a. Find the displacement of the particle in the given time interval between t1 = 2 see and t: = 5 see. b. Find the average velocity in his time intervaL c. Find the instantaneous velocity at time t1 = 2 see. 2. From the top of a 1le In high tower, a stone is thrown vertically downward with a velocity of 10 mis. What is the velocity just before it hits the ground? How long does it take the stone to reach the ground? 3. A baseball thrown vertically upward from the roof of a building has an initial velocity of 2|] mis. a. Calculate the time required to reach its maximum height. h. Find the maximum height. c. Determine its position and velocity after 1.5 seconds. d. What are its position and velocity after 5 seconds