Physics Chapter 3 Section 3 - ddamm. · PDF filePhysics Chapter 3! Section 3.3! Projectile...

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Projectile Motion Physics Chapter 3 Section 3.3

Transcript of Physics Chapter 3 Section 3 - ddamm. · PDF filePhysics Chapter 3! Section 3.3! Projectile...

Page 1: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

Projectile Motion

Physics Chapter 3 Section 3.3

Page 2: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

Projectile Motion --A projectile is an object thrown into the air!

with some initial horizontal velocity, and then!falls under the influence of gravity. !

--The path followed by a projectile is a parabola.!

--Examples of projectiles include:

baseballs! golf balls!long jumpers! arrows!

Page 3: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

--If air resistance is small enough to be ignored,!the horizontal component of the projectiles!velocity will remain constant. !

--The vertical component will accelerate at the!rate of g = -9.81 m/s2.

--The resultant velocity of the projectile at any!given time can be found by adding the!horizontal (x) and vertical (y) components.

Page 4: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,
Page 5: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

Projectile Motion and Free Fall --A projectile is an object in free fall with an!

initial horizontal velocity.!

--A projectile will hit the ground at the same!time as an object that is dropped straight!down from the same height and at the same!time.!

Page 6: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,
Page 7: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,
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Mathematical Solutions to Projectile Motion Problems

The horizontal component may be found from:!

Δx = vxΔtvx = vx,i

Page 9: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

The vertical component may be found from:!

Δy = −12g(Δt)2

vy, f = −gΔt

vy, f2 = −2gΔy

Page 10: Physics Chapter 3 Section 3 - ddamm.  · PDF filePhysics Chapter 3! Section 3.3! Projectile Motion! ... Projectile Motion and Free Fall! ... 2 g Δt)2 v y,f =−gΔt v y,

Example: What is the vertical and horizontal distance traveled by a projectile whose initial horizontal velocity is 5.0 m/s after 5.0 s?