OBJECTIVES: Identify the formulas to be used in solving problems involving projectile motion launched horizontally. Solve problems involving projectile motion launched horizontally. Cite practical and real life applications of projectile motion.
2 TYPES OF UAM HORIZONTAL MOTION VERTICAL MOTION
Are you ready???? Lets start!!!!! PROJECTILE MOTION
A projectile is any object that once projected or dropped continues in motion by its own inertia and is influenced only by the downward force of gravity.
TYPES OF PROJECTILE MOTION LAUNCHED HORIZONTALLY The horizontal launch of a projectile is when it is thrown parallel to the horizon , so it moves with a horizontal takeoff speed only under the influence of its own weight. LAUNCHED AT AN ANGLE Angle-launched projectiles are objects projected at an angle to the horizontal . Their motion begins with both an x- and y-velocity component. Projectiles have no horizontal acceleration and a vertical acceleration of 9.8 m/s/s, ↓.
Horizontal Projectiles Two dimensional motion Initial velocity is entirely horizontal X-axis : constant velocity Y-axis : constant acceleration
A Look at the Velocities
What is the formula to be used in finding the distance in horizontal component of the projectile? (RANGE)
2. What is the formula to be used in finding the distance in Vertical component of the projectile?(HEIGHT)
3. What is the formula to be used in finding the velocity in horizontal component of the projectile?;and Vix= Vfx constant all through out the flight
4. What is the formula to be used in finding the velocity in vertical component of the projectile?
5. What is the formula to be used in finding the time of flight of the projectile?
Answer the following questions. HAPPY if you think the answer is True and SAD if the answer is False .
The following procedure summarizes the above problem-solving approach. Carefully read the problem and list known and unknown information in terms of the symbols of the kinematic equations. 2. Identify the unknown quantity that the problem requests you to solve for. 3. Select either a horizontal or vertical equation to solve for the time of flight of the projectile. 4. With the time determined, use one of the other equations to solve for the unknown. (Usually, if a horizontal equation is used to solve for time, then a vertical equation can be used to solve for the final unknown quantity.
A cannon ball is fired horizontally from the top of a 90 m tall cliff with an initial velocity of 20 m/s. How long did the ball take to reach the ground? What was the range? What was the x and y-velocity of the ball right before it hit the ground?
A soccer ball is kicked horizontally off a 22.0-meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
A pool ball leaves a 0.60-meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball’s landing location.
Suppose that a cannon ball is fired with a horizontal velocity of 180 m/s from a cliff of 100m high. a. How long will it take the cannon ball to reach the ground? b. How far will it fall from the base of the cliff?
For better understanding!
The Monkey and Zookeeper There is an interesting monkey down at the zoo. The monkey spends most of its day hanging from a limb of a tree. The zookeeper feeds the monkey by shooting bananas from a banana cannon to the monkey in the tree. This particular monkey has a habit of dropping from the tree the moment that the banana leaves the muzzle of the cannon. The zookeeper is faced with the dilemma of where to aim the banana cannon in order to hit the monkey. If the monkey lets go of the tree the moment that the banana is fired, then where should she aim the banana cannon?
To ponder this dilemma, consider the following questions.
Throw at the Monkey in a Gravity Free Environment If there were no gravity, then what would happen if the banana was shot at the monkey? What path would the banana take and would it hit the monkey?
Throw above the Monkey with Gravity On If there was gravity acting upon both the monkey and the banana (the usual situation), then what would happen if the banana was shot above the monkey? What paths would the banana and the monkey take? Would the banana fall (below the straight-line path) and hit the monkey as the monkey drops from the tree? Or would the banana miss the monkey, passing over his head?
Throw at the Monkey at a Fast Speed with Gravity On If there was gravity acting upon both the monkey and the banana (the usual situation), then what would happen if the banana was thrown at the monkey with a fast speed? What paths would the banana and the monkey take? Would the banana fall (below the straight-line path) and hit the monkey as the monkey drops from the tree? Or would the banana merely move in a straight line and hit the monkey immediately? Or would the banana miss the monkey, passing over his head (or even below his head)?
Throw at the Monkey at a Slow Speed with Gravity On If there was gravity acting upon both the monkey and the banana (the usual situation), then what would happen if the banana was thrown at the monkey with a slow speed? What paths would the banana and the monkey take? Would the banana fall (below the straight-line path) and hit the monkey as the monkey drops from the tree? Or would the banana not have enough speed to hit the monkey as it was falling (presumably, because the monkey would fall faster than the slow banana)?
Throw at the monkey at a Gravity Free Environment
Throw above the monkey with Gravity On
Throw at the monkey at a Fast Speed with Gravity On
Throw at the monkey at a Slow Speed with Gravity On
PHYSICS AT SPORTS! Doing free throw is a projectile. It is related to a projectile as the force exerted upon the basketball is a push. The basketball is then projected horizontally and vertically, causing, if the proper shooting technique is applied, the basketball to rotate, elevate, and finally swish through the net. How does projectile motion relate to basketball?
4 PICS 1 WORD
Hint: All pictures are related/application of projectile motion.
B _ _ _ _ _ B _ _ _
C _ _ _ _ _ B _ _ _
S _ _ _ _ S _ _ _
R _ _ _ _
V _ _ _ _ _ B _ _ _
What other sports involve projectile motion? Discuss at least 3 sports and computer games that apply projectile motion. Present some recommendations and suggestions based on the projectile motion’s concept.