1. Aim: How do we explain the relationship between launch angle and the trajectory of a projectile?

2. Frog
What angle is the frog jumping at? Why does this make sense?

3. Range

4. Range at Different Angles

5. Analysis of Range
At which launch angle do we find the maximum range traveled by projectile? 45 degrees
At which launch angle do we find the maximum height reached by projectile?
90 degrees
3) Which launch angle has the same range as a projectile launched at 80 degrees? 10 degrees
4) Projectile A is launched at 30 degrees at the same speed as projectile B which is launched at 45 degrees.
a) Compare their ranges b) Compare their heights
Projectile B has a greater range than Projectile A
Projectile B has a greater height than Projectile A

6. The closer the launch angle is to 45 degrees, the greater the range is
The closer the launch angle is to 45 degrees, the greater the range is. The closer the launch angle is to 90 degrees, the greater the height is.

7. 5. Projectile Question-Turn and Talk
Projectile A is fired at an angle of 65° and projectile B is fired at the same speed at an angle of 20°.
Which projectile travels farther? Projectile A
Which projectile goes higher? Projectile A
Which projectile has a greater flight time? Projectile A
Which projectile will have a greater initial horizontal velocity component? Projectile B
Which projectile will have a greater initial vertical velocity component? Projectile A

8. 6. Projectile Question-Turn and Talk
Projectile A is fired at an angle of 75° and projectile B is fired at the same speed at an angle of 30°. Which projectile travels farther? Projectile B Which projectile goes higher? Projectile A Which projectile has a greater flight time? Projectile A Which projectile will have a greater initial horizontal velocity component? Projectile B Which projectile will have a greater initial vertical velocity component? Projectile A

9. Multiple Choice Question 1
Projectile A is fired at an angle of 30 degrees above the horizontal. Projectile B is fired with velocity v at an angle of 40 degrees above the horizontal. Compared to the magnitude of the horizontal component of v at the time projectile A is fired, the magnitude of the horizontal component of v at the time projectile B is fired is a) Smaller b) larger c) the same

10. Multiple Choice Question 2
A projectile is launched at an angle of 60° above the horizontal. Compared to the vertical component of the initial velocity of the projectile, the vertical component of projectile’s velocity when it has reached its maximum height is a) Smaller b) larger c) the same

11. Multiple Choice Question 3
A projectile is launched with an initial velocity of 200 m/s at an angle of 30° above the horizontal. What is the magnitude of the vertical component of the projectile’s initial velocity?
200 m/s cos 30
200 m/s sin 30
200 m/s/cos 30
200 m/s / sin 30

12. Multiple Choice Question 4
A football player kicks a ball with an initial velocity of 25 m/s at an angle of 53° above the horizontal. The vertical component of the initial velocity of the ball is
25 m/s
20 m/s
15 m/s
10 m/s

13. Multiple Choice Question 5
The path of a projectile fired at an angle of 30° above the horizontal is best described as
Parabolic
Linear
Circular
hyperbolic