General Physics Uniformly Accelerated Motion PDF

UNIFORMLY ACCELERATED MOTION UNIFORMLY ACCELERATED MOTION: HORIZONTAL DIMENSION  If a body maintains a constant change in its velocity in a given time interval along a straight line, then the body is said to have a uniform acceleration.  There’s a technique to solve kinema...

UNIFORMLY ACCELERATED MOTION UNIFORMLY ACCELERATED MOTION: HORIZONTAL DIMENSION  If a body maintains a constant change in its velocity in a given time interval along a straight line, then the body is said to have a uniform acceleration.  There’s a technique to solve kinematics problems. Notice that each equation relates four different variables. In solving kinematic problems, identify first the four variables-three with known values and one unknown. Then, choose the equation that relates these four variables. The following steps are required for all problems worked in class: 1. Identify the given 2. Identify the variables to be found 3. Write down the equation(s) used 4. Show the substitution(s) in to the equation(s) 5. Identify the answers  Sample Problem 1: An airplane from rest accelerates on a runway at 5.50 m/s2 for 20.25 seconds until it finally takes off the ground. What is the distance covered before takeoff?  Sample Problem 2: A jeepney from rest accelerates uniformly over a time of 3.25 seconds and covers a distance of 15 m. Determine the acceleration of the jeepney?  Sample Problem 3: A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and distance traveled.  Sample Problem 4: A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.  Sample Problem 5: As an engineer, you were asked to design a runway for an airport. An airplane that will use this airfield must reach a speed of 61.1 m/s before takeoff and should accelerate at 2.5m/s2 a. How much time does it take this airplane to reach the takeoff speed? b. What must be the minimum length of the runway for the Uniformly Accelerated Motion: Vertical Dimension  Free Fall An object in free fall falls at a constant acceleration towards the surface of a planet neglecting the air resistance.   Free fall acceleration is due to gravity and is denoted with the symbol “ ag “  At the Earth’s surface, the free fall acceleration is approximately -9.8 m/s 2 or about -32 ft./s 2.  VELOCITY Objects velocity in Free Fall  Upward motion- Positive velocity  Downward motion- Negative velocity Objects Motion During Free fall  An object thrown straight up will have a positive velocity and a negative acceleration  An object falling towards the earth will have a negative velocity and a Motion of an object in free fall: Velocity  The object has a positive velocity when thrown upward, and it becomes zero when it reaches its maximum height, during free-fall, its velocity will be negative.  If an object is merely dropped ( as opposed to being thrown) from an elevated height, then the initial velocity of the object is 0m/s.  Sample problem 1: A person throws a ball upward into the air with an initial velocity of 20m/s. Calculate how high it goes.  Sample problem 2: Zed is playing with a ball on top of a building but the ball fell and hits the ground after 2.6 seconds. What is the final velocity of the ball just before it hits the ground and how high is the  Sample problem 3: A rocket is fired vertically upward with an initial velocity of 29m/s. Find the rocket’s maximum altitude?