Distance - Time Graphs
- We can use graphs to help us describe the motion of an object.
- A distance-time graph shows us the distance of an object from a starting point (y-axis) against the time taken (x-axis)
- The speed of an object is the distance travelled each second
- The graident of the line on a distance-time graph represents the speed. The steeper the graident the greater the speed.
- If an object is stationary, the line on a distance-time graph is horizontal
- If an object is moving at a constant speed, the line on a distance-time graph is a straight line that slopes upwards.
- We can calculate the speed of an object using the equation:
Speed in metres per second, m/s = distance travelled in metres, m
time taken in seconds, s
Velocity and Acceleration
- The velocity of an object is its speed in a given direction.
- If the object changes direction it changes velocity, even if its speed stays the same.
- If the velocity of an object changes, we say that it accelerates.
- We can calculate acceleration using the equation:
a = v - u
a = acceleration ( m/s )
v = final velocity (m/s)
u = initial velocity (m/s)
t = time taken for the change (s)
If the value calculated for acceleration is negative, the body is decelerating. A deceleration is the same as a negative acceleration.
Velocity - Time Graphs
- A velocity - time graph shows the velocity of an object (y-aixs) against the time taken (x-axis)
- The graident of the line on a velocity-time graph represents acceleartion.
- The steeper the graident, the greater the acceleration
- If the line on a velocity-time graph is a horizontal line, the acceleratiuon is zero. Therefore the object is travelling at a steady speed.
- If the graident of the line is negative, the object is decelerating
- The area under the line on a velocity-time graph represents the distance travelled in a given time.
- The speed of an object is given by the graident of the line on its distance-time graph
- The acceleration of an object is given by the graident of the line on a velocity-time graph
- The distance travelled by an object is given by the area under the line of its velocity-time graph.