A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air resistance. Find (a) the height of the tabletop above the floor ; (b) the horizontal at distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book’s velocity, and the magnitude and direction of its velocity, just before the book reaches the floor. (d) Draw ?x?-?t?, ?y?-?t?, ?vx?-?t?, and ?vy?-?t? graphs for the motion.
Solution 9E Step 1: Given data Speed of the sliding book v = 0.10 m/s Time taken to reach the floor t = 0.350 s Problem (a) To find the height of the table above the floor Step 1: Consider the motion of the book as projectile motion. The vertical height y = - gt 2 2 = - 1 9.8 0.35 2 2 * * y = - 0.6 m or Height of the above the floor is 0.6m Problem (b) To find the horizontal distance Step 1: The horizontal distance x = v t 0 x = 1.1*0.35 = 0.385 m The horizontal at distance from the edge of the table to the point where the book strikes the floor is 0.385 m. Problem ( c) Step 1: Horizontal component of velocity v = x dv0t dt v = v x 0 v = 1.1m/s x