projectile motion equations in terms of forces

As you fall faster and faster due to gravity, this upward force exerted by air becomes greater and greater until it balances your weight.If you jump out of a plane and undergo free-falling, you will feel an upward force exerted on you by the surrounding air due to air resistance.The maximum height of the projectile is lowerĪir resistance limits the maximum velocity an object could attain from free-falling.The presence of air resistance changes the trajectory of the projectile by the following The projectile reaches its maximum height when its vertical velocity is zero.The vertical component of velocity accelerates downwards at 9.81m/s^2.The horizontal component of velocity is constant.

If we assume air resistance to be negligible in a projectile motion: If acceleration is constant (uniform), the following equations can be usedĪn object is said to undergo projectile motion when it follows a curved path due to the influence of gravity.

Equations of motion for uniform acceleration.

The area under the lines indicates the change in velocity. Horizontal lines imply constant acceleration. The area under the lines indicates the change in displacement. Straight slanted lines imply constant acceleration or deceleration. The slope gradient indicates the acceleration.

The slope gradient indicates the velocity. If we assume the upwards direction to be positive, the acceleration due to gravity would have a negative value of g=-9.81m/s^2. Take note that acceleration is a vector and thus has a direction. This value does not depend on the mass of the object. The relative velocity of A to B is equal to the vector subtraction of the velocity of B from the velocity of A.Īcceleration due to gravity of any free-falling object is given by g=9.81m/s^2. Velocity is a measure dependent on the motion of the observer. 2.1 – MotionĪ scalar quantity which measures how far two locations are apart from each other along a certain path.Ī vector quantity defined by the length and direction of the line segment joining the initial and final positions of an object.

Projectile motion equations in terms of forces