Motion in one dimension, continued Equations for constant acceleration Free fall Problem solving Lecture 2: Motion in one dimension.

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Presentation transcript:

Motion in one dimension, continued Equations for constant acceleration Free fall Problem solving Lecture 2: Motion in one dimension

Velocity and acceleration

Constant acceleration

Another useful equation: and similarly

Constant acceleration starting equations: You will find these equations on the starting equation sheet. They are your starting point for homework and test problems.

Free fall Object in free fall experiences a constant downward acceleration of magnitude In absence of air resistance, objects fall with the same acceleration irrespective of mass. Video: Apollo 15 Feather and Hammer

Example A person stands on top of a building of height 80m. He throws a ball straight up with an initial speed 20 m/s so that is just misses the edge of the building in coming down. (Use g=10 m/s 2.)* Calculate: a) the time it takes for the ball to reach its highest point * Only for this example so that we do not have to use a calculator. On your homework problems, you need to use the more accurate value of 9.8 m/s 2. b) the height of the highest point above the ground. c) the velocity with which the ball hits the ground To be worked out on the board…

1. Complete diagram. Draw initial velocity and acceleration Draw axis, including origin Indicate and label initial and final positions 2. Starting equation 3. Replace generic quantities with information given in the problem 4. Derive symbolic answer 5. Calculate numerical answer (carry units!) Summary of Litany for kinematics problems

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