Understand velocity time graphs. 03/01/2019 WALT: Understand velocity time graphs.
Interpreting speed-time graphs Move the points to change the graph and ask pupils to interpret it. For example, ask pupils to calculate the acceleration and distance travelled over various stages in the journey. Ask pupils to find the total distance travelled by finding the area under the graph. Ask pupils to make up a story for a given graph.
Diagonally Up Constant Acceleration Horizontal Constant speed Diagonally Down Constant Deceleration Gradient This is the acceleration of the object. Area under the graph This is the distance travelled by the object. Velocity time
Describe this journey. Constant velocity of 4 m/s Time s Velocity m/s Describe this journey. Constant velocity of 4 m/s Distance travelled = 10 x 4 = 40 m
Accelerating accel = 10 4 = 2.5 m/s2 Distance = ½ x 4 x 10 = 20 m 10 4 Time s Velocity m/s Accelerating accel = 10 4 = 2.5 m/s2 Distance = ½ x 4 x 10 = 20 m 10 4
6 Decelerating decel = 9 6 = 1.5 m/s2 Distance = ½ x 6 x 9 = 27 m 9 Time s Velocity m/s 6 Decelerating decel = 9 6 = 1.5 m/s2 Distance = ½ x 6 x 9 = 27 m 9
Constant speed of 6 m/s for 6 seconds, then decelerating Time s Velocity m/s Constant speed of 6 m/s for 6 seconds, then decelerating decel = 6 3 = 2 m/s2 3 6 Distance = area =½ x (6 + 9) x 6 = 45 m
Constant speed of 2 m/s for 4 seconds then accelerating Time s Velocity m/s Constant speed of 2 m/s for 4 seconds then accelerating Distance = rectangle + triangle = 10 x 2 + ½ x 6 x 6 = 20 + 18 = 38 m accel = 6 6 = 1 m/s2 6 6
Time s Velocity m/s Accelerate for 4 seconds, then constant speed of 8 m/s for 4 seconds then decelerating accel = 8 4 = 2 m/s2 2 decel = 8 2 = 4 m/s2 8 8 Distance = area = ½ x (4 + 10) x 8 = 56 m 4
Time s Velocity m/s Accelerate for 2 seconds, then constant speed of 6 m/s for 2 seconds then decelerating accel = 6 2 = 3 m/s2 decel = 6 3 = 2 m/s2 3 Distance = area of trap = ½ x (2 + 7) x 6 = 27 m 6 6 2
Time s Velocity m/s Accelerate for 4 seconds, then constant speed of 2 m/s for 2 seconds then accelerating for 4 seconds Distance = Tri + rect + tri = 4 + 12 + 16 = 32 m accel = 8 4 = 2 m/s2 8 accel = 2 4 = 0.5 m/s2 4 2 4
Time s Velocity m/s Decelerate for 2 seconds, then constant speed of 6 m/s for 2 seconds then decelerating for 6 seconds 2 decel = 4 2 = 2 m/s2 4 6 decel = 6 6 = 1 m/s2 Distance = Tri + rect + tri = 4 + 24 + 18 = 46 m 6
Time s Velocity m/s Draw a graph: An object moving with a constant velocity of 2 m/s
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 1 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 1 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant deceleration of 0.5 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant deceleration of 0.5 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 3 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 3 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant deceleration of 4 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant deceleration of 4 m/s2
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 1 m/s2 for 4 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 1 m/s2 for 4 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 2 m/s2 for 3 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 2 m/s2 for 3 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 0.5 m/s2 for 6 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant acceleration of 0.5 m/s2 for 6 seconds and then travelling at a constant velocity.
Time s Velocity m/s Draw a graph: An object moving with a constant velocity of 8 m/s for 3 seconds then decelerates at 2 m/s2 until it stops.
Classwork Worksheet