PROJECTILE MOTION LAUNCHED AT AN ANGLE(1)

• Projectile motion is the combination of horizontal motion with constant velocity and vertical motion with constant acceleration
• Projectile motion is the combination of horizontal motion with constant velocity and vertical motion with constant acceleration
• Projectile motion launched at an angle

  • Horizontal velocity is constant
  • Vertical velocity decreases as it rises, is zero at maximum height, and increases as it falls
• Variables involved in projectile launch at an angle

  • Horizontal component
  • Vertical component
• An object is projected from rest at an upward angle theta
• Initial velocity can be resolved into horizontal and vertical components
• Horizontal velocity is constant due to gravity
• Time to reach maximum height is the same as time to return to original height
• Initial upward velocity is the same as final velocity when returning to original height
• The angle of release affects the range and height of a projectile
• Maximum range is achieved at 45 degrees
• Maximum height is achieved at 75 degrees
• Angles of 30 and 60 degrees have the same range
• Angles that add up to 90 degrees are called complementary angles
• Steps to solve projectile motion problem

  1. Find maximum height

  2. Find horizontal displacement
• Angle of launch (theta)


  Numerical value in degrees expressing the orientation of a projectile
• Projectile motion


  • Baseball hit as a home run
• The ball leaves the bat at an angle of 25 degrees with a velocity of 30 m/s
• Maximum height reached by the ball is 8.20 meters
• To find horizontal displacement

  Use formula: dx = vi * cos theta * t
• Total time of flight is 2.59 seconds
• Horizontal displacement of the ball is 70.42 meters