2. (Constant acceleration)
Motion in a Plane
(Constant acceleration)

3. (Constant acceleration)
Motion in a Plane
(Constant acceleration)

4. (Constant acceleration)
Motion in a Plane
(Constant acceleration)
Example 1: A helicopter is in level flight with a constant horizontal speed of 11 m/s. At t = 0.0 s it begins to accelerate vertically at 0.96 m/s2. Assuming the helicopter’s acceleration remains constant for the time interval of interest, find…
The horizontal and vertical distances through which it moves in 5.3 s, and
Its x and y velocity components at t = 5.3 s.

5. The equations of motion for an object undergoing constant acceleration are:
and
What are the x- and y-components of the object’s initial position?
A) x0 = 0 m, y0 = 0 m
B) x0 = 1 m, y0 = 2 m
C) x0 = 0 m, y0 = 2 m
D) x0 = 1 m, y0 = 0 m
E) x0 = 0 m, y0 = – 3 m

6. The equations of motion for an object undergoing constant acceleration are:
and
What are the x- and y-components of the object’s initial velocity?
A) v0x = 0 m/s, v0y = 3 m/s
B) v0x = 1 m/s, v0y = 2 m/s
C) v0x = 0 m/s, v0y = 0 m/s
D) v0x = 1 m/s, v0y = – 3m/s
E) v0x = 0 m/s, v0y = – 3 m/s

7. The equations of motion for an object undergoing constant acceleration are:
and
What are the x- and y-components of the object’s acceleration?
A) ax = 2 m/s2, ay = 0 m/s2
B) ax = 1 m/s2, ay = – 3 m/s2
C) ax = 0 m/s2, ay = – 6 m/s2
D) ax = 2 m/s2, ay = – 6m/s2
E) ax = 0 m/s2, ay = – 3 m/s2

8. Motion subject only to the force of gravity
Projectile Motion
Motion subject only to the force of gravity

9. Motion subject only to the force of gravity
Projectile Motion
Motion subject only to the force of gravity

10. Projectile Motion Properties
Motion subject only to the force of gravity
Properties
Horizontal motion is independent of the vertical motion.

11. The red ball drops straight down
The yellow ball has an initial horizontal motion
Vertical motion is the same in each case

12. Horizontal motion is uniform for the yellow ball

13. Projectile Motion Properties
Motion subject only to the force of gravity
Properties
Horizontal motion is independent of the vertical motion.
x vs. t is linear, y vs. t is quadratic (parabolic)
y vs. x is always parabolic

14. Projectile motion is always some part of a parabola
Projectile motion displays symmetry between left and right sides

15. The angle between the initial velocity vector and the positive x-axis
“Launch angle”
The angle between the initial velocity vector and the positive x-axis
General launch angle Zero launch angle

16. General Equations of Motion

17. General Equations of Motion
Zero Launch Angle Equations of Motion
(origin at the launch point)

18. Zero Launch Angle
Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find…
x and y for t = s.

19. Zero Launch Angle
Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find…
x and y for t = s.
x and y for t = s.

20. Zero Launch Angle
Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find…
x and y for t = s.
x and y for t = s.
the velocity, speed, and direction of motion of the ball at t = s.