1. (6) (a) The position vs. time of a moving object is given by the graph below. Sketch the velocity vs. time and acceleration vs. time graphs that correspond to this motion. K (b) The velocity vs. time of a moving object is given by the graph below. The initial position is -10.0 m. Sketch the position vs. time and acceleration vs. time graphs that correspond to this motion. [c) The acceleration vs. time of a moving object is given by the graph below. The initial position is -10.0 m and the initial velocity is 0.0 m/s. Sketch the position vs. time and velocity vs. time graphs that correspond to this motion2. (3) Draw the position, velocity and acceleration vs. time graphs for an object that falls from a height, hits the ground, which is concrete and then stops without bouncing, through until after it has stopped. How, if at all, would these graphs change if the ground was a soft gymnastics mat?Equations of Motion (For these problems, neglect air resistance and the curvature of Earth). 3. (3) An electron coming from an electron gun travels 43.0 cm forward at a speed of 2.92 x 10- m/s. A sideways-pointed electric field deflects the electron by 5.00 mm perpendicular to its forward direction during this flight. Find the acceleration caused by this field. 4. (5) A person standing on a balcony throws a stone from a location 12.0 m above the ground such that it lands 45.0 m away horizontally on the ground 3.00 s after it was thrown. (a) What is the speed with which the stone is released? (b) What is the minimum speed during its flight? (c) What is the velocity of the stone right before it hits the ground