Sample Problem 1. A stone is thrown horizontally from a cliff with a velocity of 7m/s. What is the vertical velocity of the stone after 3 seconds? Given: V=7m/s t = 3 s Viy = 0 m/s ag = 9.8 m/s2 Solution: Vfy = viy - agt Vfy = 0 - ( 9.8 m/s²)(3s) Vfy= -29.4 m/s Sample Problem 2 A man dives from a 35 m high cliff and reaches the water with a final vertical velocity of 45m/s. How much time had elapsed before he reached the water? Given: Viy = 0 m/s ag = 9.8 m/s? Vfy= 45m/s t = ? Solution: Vây = Viy - agt -45m/s = 0m/s - 9.8m/s2 (t) -45m/s t = -9.8 m/s² t = 4.59 s Directions: Analyze and solve the following problems in your notebook/on a separate sheet of paper. Show your solutions. 1. A moving plane drop of a package at a speed of 25 m/s. What is the vertical velocity of the package after 20seconds? 2. From a tall building, a girl throws a piece of paper at a velocity of 5m/s. What is the horizontal velocity of the paper after 5 seconds? 3. At what time will a ball thrown horizontally reach its velocity at 19.6 m/s downwards? 4. A stone is thrown at a speed of 15m/s. What is the horizontal velocity after six seconds? 5. A stone is thrown at a speed of 15m/s. What is the vertical velocity after six seconds?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.