![]() How fast does he kick the ball if it comes back to his foot 2.5 seconds later?Ģ5 Sample Problem A flowerpot falls past a window and hits the ground 130 meters below the window. How high will it go?Ģ4 Sample Problem A gazelle is playing catch with itself by kicking a ball straight up. ![]() Velocity is _ at top Upward trip Downward trip - + Direction of d Direction of v Direction of a Direction of d Direction of v Direction of a - + - SAME BUT OPPOSITE Velocity is _ at bottomĢ3 Sample Problem A bullet is shot vertically upward with an initial velocity of 588 m/s. This is what causes them to slow down as they go up, and speed up as they fall back down!Ģ2 Path of Tennis Ball ZERO - + - + - SAME BUT OPPOSITE I will be calling on a group to give their answer, so be prepared to speak.Ģ0 What Goes Up…… When we throw an object up into the air, it:Ĭontinues to move upward for some time Stops momentarily at its peak Changes direction and begins to fall Velocity is continually changingĪcceleration is CONSTANT! Objects thrown into the air have a downward acceleration as soon as they are released. Describe the ball’s path, its velocity, and its acceleration. ![]() Hint #2: Organize your work in the GFWA method so that you know what you’ve got Hint #3: +/- signs matter! Hint #4: There are multiple ways to solve this problem! How tall was the building from #1? no ‘d’ no ‘a’ no vf no ‘t’Įxperimentally determine the acceleration of gravity using: 2 photogates and timer 1.8-cm diameter marble Ruler Pole and blue knob Your brain Hint #1: Balance the ball at the end of the blue knob to guarantee that the widest part falls through the IR beams. What is the brick’s velocity just before it reaches the ground? no ‘d’ no ‘a’ no vf no ‘t’Ģ. The brick strikes the ground after 4.85 seconds. A brick is dropped from the roof of a building under construction. How many seconds will he fall before reaching a downward speed of 25 m/s?ġ. What is his velocity just before he hits the water?ġ5 Problem Dizzy Dimwit decides to fly by jumping off a water tower. How many seconds will it take to hit bottom?ġ4 Problem Clifton Klutz falls from a 25 meter high cliff. What is its velocity after falling for 3.5 s? no ‘d’ no ‘a’ no vf no ‘t’ġ3 Problem Trixie Truelove drops a penny into a wishing well that is 10 meters deep. t=0 vi = 0 m/s t=2 v2 = vi + at = 0 + (-9.8)(2) = m/s v4 = vi + at = 0 + (-9.8)(4) = m/s t=4ġ2 Problem Vanessa Vandal throws a brick from a high scaffold with an initial downward speed of 1.5 m/s. Freely falling bodies undergo constant acceleration Acceleration on earth due to gravity = 9.8 m/s2ĩ Freefall Motion For the purpose of this class, we will “consider a spherical cow.” HUH? In other words, we will neglect air resistance for problems involving constant acceleration.ġ0 Freefall Motion g = 9.8 m/s2 and agravity = -9.8 m/s2Īcceleration on earth due to gravity = 9.8 m/s2 Positive or negative? Gravity pulls everything DOWN “g” will differ on other planets, and can be calculated In our calculations, g = 9.8 m/s2 and agravity = -9.8 m/s2ġ1 Problem Predict the velocity of the falling ball at the indicated time intervals. ![]() Galileo found that in the absence of air resistance, all objects dropped near the surface of a planet will fall with the same acceleration. What is the minimum distance the planes need to take off?ħ Sample Problems Work sample problems in your notes. These planes are capable of acceleration at the rate of 1.5 m/s2. What is the car’s acceleration? vi=0 m/s d=201 m t= 5.0 s a=? 201 m = 0 + (0.5 )a(52 s) a = m/sĪn engineer is to design a runway to accommodate airplanes that must gain a ground speed of 60.0 m/s before they can take off. Starting from rest, a racecar travels 201 m in the first 5.0 seconds of acceleration. Vi = initial velocity (m/s) vf = final velocity (m/s) a = acceleration (m/s2 or m/s/s) t = time (sec) Δ d = displacement Sign Conventions: Conventionally, signs are: Up &/or Right = positive Down &/or Left = negative Your numbers must have the correct signs when plugging into the kinematic equations! You can make any direction positive or negative, as long as you are consistent in the problem!!Ĥ “The Four Equations of Constant Acceleration” 20m/s, 25m/s, 30m/s, 35m/s, 40 m/s, 45m/s, 50m/s What is the average speed during the acceleration?ģ Possible Variables to Solve for with Acceleration: The speeds were recorded at 1-second intervals. “Four Equations Of Constant Acceleration”Ģ Sample Problem Consider the following series of speeds for an accelerating object. Presentation on theme: "Freefall and “The Kinematic Equations”"- Presentation transcript:Ī.k.a.
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