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PHYSICS 103: Lecture 3. Agenda for Today:. Motion under uniform acceleration Freely falling objects Acceleration due to gravity Tracking a falling object. Description of Motion with Uniform Accleration. Remember from last class that acceleration is:. If a is constant:. Where:.

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slide1

PHYSICS 103: Lecture 3

Agenda for Today:

  • Motion under uniform acceleration
  • Freely falling objects
  • Acceleration due to gravity
  • Tracking a falling object
slide2

Description of Motion with Uniform Accleration

Remember from last class that acceleration is:

If a is constant:

Where:

v = final velocity

v0 = initial velocity

slide3

Example of Uniform Accleration:

A car accelerates at 3 m/s2 from rest. What is the final velocity after 20 seconds?

We know:

v0=0 m/s

a=3 m/s2

t=20 s

How far did it travel in this time?

slide4

Remember from last class that distance is:

If acceleration, a, is constant, then:

If acceleration, a, is constant, then the final velocity, v, is given by:

so:

slide5

Motion with Uniform Acceleration

When an object accelerates at a constant rate the following applies:

v= vo + at

acceleration

Final velocity

Initial velocity: velocity at t = 0

d = d0 + v0t + 1/2at2

acceleration

Initial velocity: velocity at t = 0

Initial distance at t = 0

slide6

Example Problems for Uniform Accleration:

1) A car starts out at a velocity of 2 m/s. If it's acceleration is 3 m/s2, how fast will it be going in 20 s?

2) A car starts out at a velocity of 2 m/s. If it's acceleration is 3 m/s2, how long will it take before it will be going 62 m/s

3) In the problem above, how far will it have traveled?

4)A car starts out at a velocity of 2 m/s. If its acceleration is 3 m/s2, how long will it take the car to travel 640 m?

slide7

Freely falling objects

Observations:

1) Heavy objects and light objects fall at the same rate with no air resistance

2) Things fall faster and faster until they hit the ground (acceleration)

slide8

Acceleration due to Gravity

Free-fall is an example of motion with uniform acceleration

slide9

initial

final

A ball is dropped from a a tall building.How long does it take to reach the ground? How fast is it going?

where h = 1224 ft = 373 m to 102nd floor

slide10

0

0

initial

final

Example of free-fall:

v= vo + at

d = d0 + v0t + 1/2at2

d=373 m

d0=0 m

v0=0 m/s

v= vo + at = 0 + (10m/s2)(8.64s) = 86.4m/s

= 86.4 m/s (1/1000 km/m)(1/1.61 mile/km)(3600 s/hr)

= 193 mph

slide11

Main Points from Today’s Lecture

  • Motion with Uniform (Constant) Acceleration

v= vo + at

acceleration

Final velocity

Initial velocity: velocity at t = 0

d = d0 + v0t + 1/2at2

acceleration

Initial distance at t = 0

Initial velocity: velocity at t = 0

  • Free fall
  • How long does it take to drop things
  • How fast are they going at any given time?
slide12

HW

Re-Read Ch 3

Make sure you understand all example problems done in class