1 / 7

Area under a velocity-time graph

v mph. 70. 0. 2. t hours. Area under a velocity-time graph. Car travelling at 70 mph for 2 hours. 2 ´ 70. Area =. = 140. This is the distance travelled, 140 miles. The area under a velocity-time graph gives the distance travelled (displacement). v ms -1. 20. 0. t seconds. 5.

pgamino
Télécharger la présentation

Area under a velocity-time graph

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. v mph 70 0 2 t hours Area under a velocity-time graph Car travelling at 70 mph for 2 hours 2 ´ 70 Area = = 140 This is the distance travelled, 140 miles The area under a velocity-time graph gives the distance travelled (displacement)

  2. vms-1 20 0 t seconds 5 Gradient of a velocity-time graph The gradient of a velocity-time graph gives the acceleration. Car accelerating steadily from 0 to 20 ms-1 in 5 seconds Acceleration = = 4 ms-2 This is 4 ms-1 per second Area of triangle = 50 m Distance travelled = 50 metres

  3. b a h h b Summary The gradient of a velocity-time graph gives the acceleration The area under a velocity-time graph gives the displacement Area of a triangle Area of a trapezium

  4. v Velocity u t 0 Time Object with velocity increasing steadily from u to v in time t Acceleration a Equation 1 Displacement s Equation 2

  5. Equation 1 Equation 2 Substituting for v : Equation 3

  6. Equation 1 Rearranging for t : Equation 2 Substituting for t : Equation 4

  7. Equation 1 where u = initial velocity v= final velocity Equation 2 a = acceleration Equation 3 t = time taken s = displacement Equation 4 Constant Acceleration Equations

More Related