An object is moving in an equal distance in an equal amount of time, does not speed up nor slows down as time goes by
Uniformly accelerated motion
An object maintains a constant change in its velocity in a given time interval
The distance vs time graph of an object moving in uniform motion is a straight line, while an object moving in uniformly accelerated motion has a curved or parabolic graph
Positive acceleration increases velocity and distance covered, while negative acceleration decreases velocity and distance covered
Positive acceleration
An airplane preparing for takeoff
Uniformly Accelerated Motion (UAM)
The motion of an object where the acceleration is constant
Equations that describe an object in Uniformly Accelerated Motion
1. vf = vi + at
2. Δx = (1/2)(vi + vf)t
Free fall
The motion of an object falling under the influence of gravity, with air resistance negligible
The acceleration due to gravity (g) is -9.8 m/s2
Projectile motion
The motion of an object that is thrown and exhibits both horizontal and vertical motion, with the only force acting on it being gravity
The maximum range of a projectile can be attained if the launch angle is 45 degrees
Equations to describe projectile motion
1. vix = vi cos θ
2. viy = vi sin θ
3. Δy = viy t - (1/2)gt2
4. t = (vfy - viy)/-g
5. R = 2(vix t)
1. Greatly affects the trajectory of projectile
d. launch angle
2. Vertical velocity of projectile at maximum height
e. 0 m/s
3. Acceleration due to gravity
b. - 9.8m/s2
4. Angle with maximum range
45
5. The sum of two different launch angles having the same range
90
Uniform motion
When an object is moving in an equal distance in an equal amount of time, does not speed up nor slows down as time goes by
Uniformly accelerated motion
Motion where an object is experiencing a constant acceleration
If an object is experiencing a positive uniform acceleration
Further increase in velocity and distance covered
Projectile motion
Motion by which an object is thrown and mainly manifest both horizontal and vertical motion
In freefall, an object can either be
thrown upward or downward
The trajectory and range in the projectile motion is greatly affected by
the launched angle and initial velocity
Air resistance affects the horizontal component of the trajectory of a projectile, the effect of it can be minimized by lowering the angle of release
In the javelin, to gain more distance, athletes will hold the javelin up higher to create a greater height of release
As the height of release decreases, the angle of release decreases also
Momentum (p) of an object is the product of its mass and velocity
Impulse (I) is the product of the force and the time over which the force is applied
Momentum and Impulse are equal in magnitude when there is no energy loss
Real-life examples where momentum and impulse are observed
Volleyball spike
Pulling paper under a coin
Balloon prick with a needle
Collision of billiard balls
Gun and bullet fired
Football player pinned down
Truck vs car momentum
Truck at different velocities
To minimize the effect of the force on an object involved in a collision
Increase the time of impact
To maximize the effect of the force on an object involved in a collision
Decrease the time of impact
The total momentum of a system does not change if no net external forces are acting
Elastic Collision
After two objects collide, they move separately with no change in kinetic energy. The total momentum and the total kinetic energy remain constant throughout the collision.
Inelastic Collision
The final kinetic energy of the system is less than the initial kinetic energy
Perfectly Inelastic Collision
Objects collide and move together as one mass after the collision
In a perfectly inelastic collision, the total kinetic energy is not conserved because some objects can be deformed and lose their original shapes when they stick together
Conservation of momentum explains why a gun or cannon recoils backward when it is fired
Potential energy
The energy of the object based on its structure and position