What can you say about the motion of an object if its speed time graph is a straight line parallel to the time axis

For an acceleration graph, the slope can be found from slope = rise run = a 2 − a 1 t 2 − t 1 = Δ a Δ t \text slope = run rise ​ = t 2 ​ − t 1 ​ a 2 ​ − a 1 ​ ​ = Δ t Δ a ​ start text, s, l, o, p, e, end text, equals, start fraction, start text, r, i, s, e, end text, divided by, start text, r, u, n, end text, end fraction, equals, start fraction, a, start subscript, 2, end subscript, minus, a, start subscript, 1, end subscript, divided by, t, start subscript, 2, end subscript, minus, t, start subscript, 1, end subscript, end fraction, equals, start fraction, delta, a, divided by, delta, t, end fraction , as can be seen in the diagram below. As strange as the name jerk sounds, it fits well with what we would call jerky motion. If you were in a ride where the acceleration was increasing and decreasing significantly over short periods of time, the motion would feel jerky, and you would have to keep applying different amounts of force from your muscles to stabilize your body. If we multiply both sides of the definition of acceleration, a = Δ v Δ t a=\dfrac a = Δ t Δ v ​ a, equals, start fraction, delta, v, divided by, delta, t, end fraction , by the change in time, Δ t \Delta t Δ t delta, t , we get Δ v = a Δ t \Delta v=a\Delta t Δ v = a Δ t delta, v, equals, a, delta, t . Δ v = a Δ t = ( 4 m s 2 ) ( 9 s ) = 36 m s \Delta v=a\Delta t= (4~\dfrac Δ v = a Δ t = ( 4 s 2 m ​ ) ( 9 s ) = 3 6 s m ​ delta, v, equals, a, delta, t, equals, left parenthesis, 4, space, start fraction, sta...

Study the speed-time graph of a car given alongside and answer the following question: (i) What type of motion is represented by O A? (ii) What type of motion is represented by A B? (iii) What type of motion is represented by B C? (iv) What is the acceleration of car from O to A? (v) What is the acceleration of car from A to B? (vi) What is the retardation of car from B to C?