1D Kinematics

Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object not moving. No slope = No speed T

Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object moving with constant speed. Straight line has one slope = one speed or constant speed T

Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object moving with changing speed. Increasing slope = increasing speed = accelerating T

Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object moving with changing speed. Decreasing slope = decreasing speed = Slowing down T

Velocity Time (VT) Graph Slope of a VT graph gives Acceleration V This is a graph of an object moving with constant velocity. No slope = No acceleration T

Velocity Time (VT) Graph Slope of a VT graph gives Acceleration V This is a graph of an object moving with constant acceleration. Straight line has one slope = one or constant acceleration T

Velocity Time (VT) Graph Slope of a VT graph gives Acceleration V This is a graph of an object moving with changing slope. Increasing slope = increasing speed=non-uniform acceleration T

Velocity Time (VT) Graph Slope of a VT graph gives acceleration V This is a graph of an object moving with Non uniform acceleration. Decreasing slope = decreasing acceleration T

Velocity Time (VT) Graph Area under a VT graph gives displacement V Here the area under the graph is a triangle Area = ½ Base x Height T

Velocity Time (VT) Graph Area under a VT graph gives displacement V Here the area under the graph is a triangle and a rectangle Area = [½ Base x Height] + [Length x Width] T

Actual distance covered is called distance The distance from the origin is called displacement Difference between Distance and Displacement

Distance is always positive, but Displacement can be either positive or negative Distance is a scalar Displacement is a vector Difference between Distance and Displacement

Speed is only magnitude Velocity gives you a magnitude and a direction Difference between Speed and Velocity

Speed is always positive Velocity can be either positive or negative Speed is a scalar Velocity is a vector Difference between Speed and Velocity

Speed = Distance/time ( V=∆d/ ∆ t) Unit of speed in metric system is m/s Constant Speed or Velocity 1

Slope of a VT graph gives acceleration a = ∆V/∆t Or a = V f – V i /t Or Acceleration V f = V i + at 3

a = g = 9.8m/s 2 or 10m/s 2 That means an object will increase speed at the rate 10m/s every second Since Gravity acts in the downward direction, objects speed up when dropped and slow down when thrown up. Acceleration due to Gravity

a) Information not given, don’t know b) Zero c) 10m/s d) -10m/s When a ball is thrown up, what is the velocity at the tippity top?

a) Information not given, don’t know b) Zero c) 10m/s 2 d) -10m/s 2 When a ball is thrown up, what is the acceleration at the tippity top?

Using V f = V i + at And Av. Velocity= (V f +V i )/2 And V=d/t We get 4 th Equation V f 2 = V i 2 + 2ad 4

Using V f = V i + at And Av. Velocity= (V f +V i )/2 And V=d/t We also get 5 th Equation d=V i t+(½)at 2 5