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In this lesson, students will investigate the relationship between force, mass, and the motion of objects. They will determine the relationship between velocity and acceleration and learn about measuring motion, speed, and velocity. The lesson also discusses reference points and includes examples and graphs to help understand these concepts.
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Motion S8P3. Students will investigate relationship between force, mass, and the motion of objects. a. Determine the relationship between velocity and acceleration.
Motion Measuring Motion Motion Speed & Velocity Acceleration
Motion • Motion is when an object changes position over time relative to a reference point. • Problem: • Is your desk moving? We need a reference point... • a nonmoving or moving point from which motion is measured
Motion • Superman Example • The speeding bullet is a movingreference point to Superman’s motion. • The tall building is the non-moving reference point when Superman leaps.
Reference point Motion Motion • Motion • Change in position in relation to a reference point.
Motion Problem: • You are a passenger in a car stopped at a stop sign. Out of the corner of your eye, you notice a tree on the side of the road begin to move. • What’s the problem? • You have mistakenly set yourself as the reference point.
d s t Speed • Speed • rate of motion • distance traveled by an object in a given amount of time Write Formula
Speed • Instantaneous Speed • speed at a given instant • Average Speed Write Formula http://www.physicsclassroom.com/mmedia/kinema/trip.cfm
Speed • Problem: • A storm is 10 km away and is moving at a speed of 60 km/h. Should you be worried? • It depends on the storm’s direction!
Velocity • Velocity • speed of an object in a given direction • changes when speed and/or direction changes • Examples: • The car’s velocity was 104 km/h N (about 65 mph N). • John’s velocity was 1 m/s S (about 2.2 mph S) • The runner’s velocity was 37 km/h W (about 23 mph W).
Distance-Time Graph A B Graphing Motion • slope = • steeper slope = • straight line = • flat line = speed faster speed constant speed no motion
Distance-Time Graph A B Graphing Motion • Who started out faster? • A (steeper slope) • Who had a constant speed? • A • Describe B from 10-20 min. • B stopped moving • Find their average speeds. • A = (2400m) ÷ (30min) A = 80 m/min • B = (1200m) ÷ (30min) B = 40 m/min
vf - vi t a Acceleration • Acceleration • the rate of change of velocity • change in speed and/or direction Write Formula a: acceleration vf: final velocity vi: initial velocity t: time
Acceleration • The velocity can change even when the speed is constant! Examples: 25 m/s S 25 m/s E 55 m/s W 20 m/s W
Acceleration • Positive acceleration • “speeding up” • Ex. 5 km/h 25 km/h • Negative acceleration (Deceleration) • “slowing down” • Ex. 25 km/h 5 km/h
Distance-Time Graph Graphing Motion • Acceleration is indicated by a curve on a Distance-Time graph. • Changing slope = changing velocity
Speed-Time or Velocity-Time Graph Graphing Motion • slope = acceleration • “+” velocity = speeds up • “-” velocity = slows down • Straight line = constant acceleration flat line = constant speed
Speed-Time or Velocity-Time Graph Graphing Motion Specify the time period when the object was... • slowing down • 5 to 10 seconds • speeding up • 0 to 3 seconds • moving at a constant speed • 3 to 5 seconds • not moving • 0 & 10 seconds