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Motion In Straight Line

Question
CBSEENPH11017128

The velocity time graph of two objects A and B makes angle of 30° and 60° with time axis respectively. Compare their accelerations. 



Solution

Slope of velocity-time graph gives the acceleration of the object.
Therefore, 

Acceleration of object A, straight alphaA = tan 30°
Acceleration of object B, straight alpha= tan 60°


Now, straight alpha subscript straight A over straight alpha subscript straight S equals fraction numerator tan 30 over denominator tan 60 end fraction equals 1 third