Constant Acceleration Equations - Nuffield Foundation恒定加速度方程纳菲尔德基金会

Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,*,Area under a velocity-time graph,Car travelling at 70 mph for 2 hours,Area=,This is the distance travelled,140 miles,2,70,=140,v,mph,t,hours,0,2,70,The area under a velocity-time graph gives the distance travelled(displacement),Car accelerating steadily from 0 to 20 ms,-1,in 5 seconds,Distance travelled=50 metres,=50 m,Acceleration=,=,4 ms,-2,v,ms,-1,t,seconds,0,5,20,Area of triangle,Gradient of a velocity-time graph,This is 4 ms,-1,per second,The gradient of a velocity-time graph gives the acceleration.,Summary,The,area,under a velocity-time graph gives the,displacement,The,gradient,of a velocity-time graph gives the,acceleration,Area of a,triangle,Area of a,trapezium,b,h,b,h,a,Object with velocity increasing steadily from,u,to,v,in time,t,Acceleration,a,Velocity,Time,0,t,u,v,Equation 1,Displacement,s,Equation 2,Equation 1,Equation 2,Substituting for,v,:,Equation 3,Equation 1,Equation 2,Rearranging for,t,:,Equation 4,Substituting for,t,:,Equation 1,Equation 2,Equation 3,Equation 4,Constant Acceleration Equations,where,u,=initial velocity,v,=final velocity,a,=acceleration,t,=time taken,s,=displacement,