#Physics kinematics equations free#

Note: The gradient of the acceleration - time graph is actually the rate of change of acceleration. The area under the acceleration- Time graph gives us the change in velocityįrom the graph we find that the change in velocity is 10 x 3 = 30 ms?¹ During the first 5 s the object has travelled: The area under a velocity-time graph is the displacement. During the last second of the objects journey the object is decelerating at: When the object is at constant speed from 5s to 7s its acceleration is zero. Therefore for the first 5 s the acceleration is: We know that the gradient of a velocity- Time graph gives us its acceleration. For these 3s its velocity is zero.Īfter 8s the object starts to return at a faster speed then before. Therefore for the first 5 seconds the speed is:Īfter the first 5 s the object is stationary for 3 s. We know that the gradient of a displacement – time graph gives us its velocity. 2.1.7 Draw and analyse distance?time graphs, displacement?time graphs, velocity?time graphs and acceleration?time graphs.Ģ.1.8 Calculate and interpret the gradients of displacement?time graphs and velocity?time graphs, and the areas under velocity?time graphs and acceleration?time graphs. In the absence of air resistance all objects have the same acceleration irrespective of its mass. This is a point by which the velocity remains constant and acceleration is zero. Due to the effect of air resistance objects can reach terminal velocity. V= 8.9 m s -1 2.1.6 Describe the effects of air resistance on falling objects.Īir resistance eventually affects all objects that are in motion. We can easily recognise the uniform acceleration in displacement - time, velocity - time and acceleration - time graphs as shown below: 2.1.5 Solve problems involving the equations of uniformly accelerated motion.Ī car accelerates with uniformly from rest.

#Physics kinematics equations free#

On the earths surface, the acceleration of an object in free fall is about 9.81 ms -1. Free fall is an example of uniformly accelerated motion as the only force acting on the object is that of gravity. When we ignore the effect of air resistance on an object falling down to earth due to gravity we say the object is in free fall. 2.1.4 Identify the acceleration of a body falling in a vacuum near the Earth?s surface with the acceleration g of free fall. Other equations may be derived from these equations. Table 1.2.1 - Variables used in uniformly accelerated motion equations The equations of uniformly accelerated motion are as follows: Variable The equations of uniformly accelerated motion can only be under conditions where the acceleration is constant. Which the equations for uniformly accelerated motion may be applied. 2.1.2 Explain the difference between instantaneous and average values of speed, velocity and acceleration.Īn instantaneous value of speed, velocity or acceleration is one that is at a particular point in time.Īn average value of speed, velocity or acceleration is one that is taken over a period of time. Note that acceleration is any change in velocity, meaning an increase or decrease in velocity or a change in direction. It is a vector quantity.Īcceleration = (change in velocity / change in time) Velocity has a direction.Īcceleration is the rate of change of velocity. Note that speed and velocity are not the same thing. Speed = (change in distance / change in time) Velocity = (change in displacement / change in time) Velocity is the rate of change of displacement. Kinematics 2.1.1 Define displacement, velocity, speed and acceleration.ĭisplacement is the distance moved in a particular direction.