the velocity time graph of two bodies A and B are shown in figure, the ratio of their acceleration is : Motion along a straight line
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11th
Physics
Motion in a Straight Line
Acceleration
The velocity - time graph f...
PHYSICS
Asked on October 15, 2019 byPanchi Malviya
The velocity - time graph for two bodies A and B are shown. Then the acceleration of A and B are in the ratio:

A
tan25∘ to tan40∘
B
tan25∘ to tan50∘
C
sin25∘ to sin50∘
D
cos25∘ to cos50∘
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ANSWER
Acceleration a=ΔtΔv
Thus slope of velocity Vs time curve gives the acceleration of body.
Line A makes an angle of 25o with time axis, thus its slope is equal to tan25o.
Hence acceleration of body A aA=tan 25o
Line B makes an angle of 50o with time axis, thus its slope is equal to tan50o.
Hence acceleration of body B aB=tan 50o
⟹ aA
Answer:
slope = Δx/Δt = tanΘ
∴ for A acc. of A= tan(45)= 1/√2
∴for B acc. of b = tan(60)=√3
Explanation: