PROJECTILE MOTION Continues

PROJECTILE MOTION Continues

Today's Standards

SP1. Obtain, evaluate, and communicate information about the relationship between distance, displacement, speed, velocity, and acceleration as functions of time. d. Analyze and interpret data of two-dimensional motion with constant acceleration. ? Resolve position, velocity, or acceleration vectors into components (x and y, horizontal and vertical). (ii) Interpret problems to show that objects moving in two dimensions have independent motions along each coordinate axis. (iii) Design an experiment to investigate the projectile motion of an object by collecting and analyzing data using kinematic equations. (iv) Predict and describe how changes to initial conditions affect the resulting motion. (v) Calculate range and time in the air for a horizontally launched projectile

LEARNING OBJECTIVES

1. Interpret problems to show that objects moving in two dimensions have independent motions along each coordinate axis.

2. I can describe how changes to initial conditions affect the resulting motion.

3. I can predict how changes to initial conditions affect the resulting motion.

4. I can calculate range and time in the air for a horizontally launched projectile

5. I can calculate range the time in the air for a horizontally launched projectile

6. I can design an experiment to investigate the projectile motion of an object by collecting and analyzing data using kinematic equations.

What are the Key Components of Projectile Motion? 1. The key components that we need to remember in order to

solve projectile motion problems are: 2. Initial launch angle, 3. Initial velocity, u 4. Time of flight, T 5. Acceleration, a 6. Horizontal velocity, vx 7. Vertical velocity, vy 8. Displacement, d 9. Maximum height, H 10. Range, R

SP1d (iv) Predict and describe how changes to initial conditions affect the resulting motion.

Warm-up

Analyze the graph on the left and describe the effect of the angle of launch on (1) The horizontal distance

traveled by the object launched (2) The time of flight of the object launched

Analyze the graph on the left and list which initial conditions of launch will determine the horizontal distance traveled by the object and the time in air it spends during this travel:

EXAMPLES OF PROJECTILE MOTION

PROJECTILE MOTION: Horizontal Launch

vx: Horizontal Velocity.

Once in air, vx does not

vx

change since there is

no force pushing or

v1 pulling horizontally.

v2

vy: Vertical Velocity. Once in air, vy changes because of the force of gravity. The

projectile accelerates at the

rate of 9.8 m/s2 downward.

v3

PM simulation

PROJECTILE MOTION

? A projectile is an object shot through the air upon which the only force acting is gravity (neglecting air resistance).

? The trajectory (path through space) or a projectile is

parabolic.

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