Projectile Motion_STEM120000000000000000

Physics

1. Two objects, one dropped from rest and the other one thrown horizontally will reach the ground at same time. The horizontal motion is not affected by gravity, so it has a constant velocity. PROJECTILE MOTION PROJECTILE – a body thrown into the air and travels under the action of gravity alone. TRAJECTORY – the path followed by a projectile. PROJECTILE MOTION – combination of two types of motion (VERTICAL MOTION, similar to the motion of a falling body and HORIZONTAL MOTION, with uniform velocity.

2. CONCEPTS The horizontal motion (velocity) is constant while the vertical motion of a projectile is similar to the motion of a free falling object. The same range is obtained from two different angles of projection that up to 90 .

3. FORMULAE RANGE – horizontal distance HEIGHT – vertical distance

4. From the top of a tower which is 122.5 meters high, a stone is thrown horizontally with a velocity of 5m/s. How long does the stone in the air? 2. What horizontal distance will the stone travel before hitting the ground?    

5. Paulo is standing outside the Room 203, 7m from the wall. Thomas, by a window 5m above the ground, tosses a ball horizontally. Find the speed that Thomas should give the ball for it to reach Paulo.   =  

6. A stone is thrown horizontally with a velocity of 35m/s from the top of a tower. A. Find the range covered if the stone hit the ground after 6 seconds. B. Find the height.

7. 1. At an altitude of 3200 m, a plane releases a bomb at the instant it is flying on a horizontal level at 32 m/s. What horizontal distance will the stone travel before hitting the ground? 2. A ball is kicked horizontally at 8 m/s from a cliff 80 m high. How far from the base of the cliff will the stone strike the ground? 3. A ball rolls with a speed of 2.0 m/s across a level table that is 1.0 m above the floor. Upon reaching the edge of the table, it follows a parabolic path to the floor. How far along the floor is the landing spot from the table?

8. FORMULAE RANGE HEIGHT V i

9. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28 degrees above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.

10. 1. A projectile is fired at 30 above the horizontal with an initial speed of 60 m/s. What is the horizontal component of the projectile’s initial velocity? What is the vertical component of the projectile’s initial velocity? What is the maximum height reached by the projectile? Find the range. 2. A baseball is thrown upward with a velocity of 6m/s at an angle of 60 from the ground. When it reaches the highest point, what is the vertical velocity?