Motion in 1-Dimension (Objects that are moving in the x direction or y direction only!)

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Presentation transcript:

Motion in 1-Dimension (Objects that are moving in the x direction or y direction only!)

Variables: Time: How long an object does something (sec) Distance: How far an object travels (m) Velocity: How fast an object travels (m/sec) – V i = Initial velocity – V f = Final velocity Acceleration: How the speed of an object changes over time (m/sec 2 )

Acceleration Acceleration- For most of our problems, you will need to know the acceleration… Object falling towards the Earth’s surface a = __________ That means that as an object falls towards the Earth, its speed is: If the object is not falling, we need to calculate the acceleration using an equation.

The Equations: 1. ** How do I know which equation to use? Is the velocity constant? __________________ If yes- use #1 If not, use any of the other 3 that you have enough information to solve.

Tips for Solving Problems: Anything down is ______________________________ Often you know some of the velocities right away If an object starts at rest, V i = __________________ If an object stops, V f = ________________ If you throw an object up, what is its speed at the top? _____ If an object is dropped, we know 2 things: V i = _____________________a = ____________________ Time up = Time down (If thrown and caught at same height) (If you throw an object up and it takes 6 sec to land back in your hand, how long did it take to go up? ________________

Problem 1: Tommy drops a bottle from a height of 1.4 meters. How long will it take to reach the ground? Given: Unknown: Equation:

Problem 2: Pikachu is battling Chimcharm. If Pikachu accelerates from rest at a rate of 1.5 m/s 2, what will his final velocity be when he gets 25 meters away?

Problem 3: Megatron is trying to catch up to Optimus Prime after a battle against the Decepticons. He gets on a motorcycle and reaches a velocity of 16 m/s. Suddenly he realizes he is going to hit a brick wall (63 meters away) which he is unable to turn away from. He shuts the motorcycle off and coasts to a stop. Calculate the deceleration he will have to undergo in order to stop just before the wall. (deceleration is just a negative acceleration)

Problem 4: Spongebob (as a caveman) drops a rock off a cliff. If it takes 3.5 seconds for the rock to hit the ground, calculate a) the velocity at which the rock is traveling just before it hits the ground in m/s and in miles per hour.

b) the height of the cliff.