Physics, asked by anil8564, 1 year ago

Compare between trapezoidal and quadrilateral speed-time curves.

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Answered by Anonymous
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Let α and ß be the acceleration and retardation respectively in m/s2, Vm be the crest speed in m/s and T be the total time of run in seconds.

Simplified Speed-Time Curves.JPG

Fig. 8.2

Acceleration period, t1 = Vm/ α

Retardation period, t3 = Vm

Retardation period, t3 = Vm/

Free running period, t2 = T – (t1 + t3)

= T – (12

Where is the coasting retardation in m/s2

Total distance travelled,

S =

Where ßc is the coasting retardation in m/s2

Total distance travelled,

S = 1/2 V1t1 + v1 + v2/2 X t2 + 1/2 V2t3

Or S = T/2 ( V1 + V2) - 1/2 V1 V2 ( 1/α + 1/ß

From the above expression the value of unknown quantity can be determined by substituting the values of known quantities.

Simplified Speed-Time Curves1.JPG

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