Falling Objects and Projectile Motion. Chapter 3. Acceleration Due to Gravity. What happens if we drop an object? Does the object accelerate or fall with a constant speed? Do two objects behave differently if they have: different masses? different shapes?. Measuring Gravity Acceleration.
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acceleration due to the
gravity from the graph (g)
Example (Q3 p54)
Aristotle’s and Galileo’s different ideas
The gravitational acceleration for objects near the surface of the Earth is a constant and has the value of 9.8 m/s2. It has the same value for objects with different weight and shape.
Sample Exercise: A ball is throwing
down with an initial velocity of 20m/s. Find (a) the velocity and (b) the distance traveled at 1-s time intervals for the first 2s of motion
A ball is thrown upward with an
initial velocity of 20m/s, find its
velocity and height in the first four
Seconds. How high can the ball go?
Q 14. A ball is thrown straight upward. At the very top of its flight, the velocity of the ball is zero. Is its acceleration also zero?
Ball running off the table
Firing a cannon
Shooting a basket ball
- an object with an initial velocity moving in the air with only the gravitational force acting on it
What does the trajectory look like? (A trajectory of a moving object is its actual moving path).
Which of these balls would hit the floor first if all three left the tabletop at the same time? Which will hit the floor with the biggest distance from the table?
(1) First separate the motion in vertical and horizontal directions and threat them respectively
(2) The real trajectory of the object is the combination of the vertical and the horizontal motion.
A ball rolls off a tabletop with an initial velocity of 3 m/s. If the table is 1.25 m above the floor,
Q: What determines the time of flight?
E 12. A ball rolls off of a shelf with a horizontal velocity of 6 m/s. At what horizontal distance from the edge of the shelf does the ball land if it takes 0.5 s to reach the floor?
E14. A ball rolls off of a table with a horizontal velocity of 5 m/s. If it takes 0.6 s for it to reach the floor:
a. What is the vertical component of the ball’s velocity just before it hits the floor?
b. What is the horizontal component of the ball’s velocity just before it hits the floor?
Example Q23 (p55)
E 16. A projectile is fired at an angle such that the vertical component of its velocity and the horizontal component of its velocity are both equal to 30m/s.