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The v-t graphs of two objects make angle...

The v-t graphs of two objects make angles of `30^circ` and `60^circ` with the time-axis. Find the ratio of their accelerations.

Text Solution

Verified by Experts

`(a_(1))/(a_(2))=(tan30)/(tan60)=(1//sqrt(3))/(sqrt(3))=(1)/(3)=1:3`
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Knowledge Check

  • In displacement time graph, two straight lines make angles 60^(@) and 30^(@) with time axis. The ratio of mangnitudes of the velocities represented by them is

    A
    `1 : 2`
    B
    `1: 3`
    C
    `2 : 1`
    D
    `3 : 1`
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    A
    `1 : 2`
    B
    `1 : sqrt(3)`
    C
    `sqrt(3) : 1`
    D
    `1 : 3`
  • The displacement-time graph for two particles A and B are straight lines inclined at angles of 30^(@) and 60^(@) with the time axis. The ratio of velocities of V_(A) :V_(B) is

    A
    `1:2`
    B
    `1:sqrt(3)`
    C
    `sqrt(3):1`
    D
    `1:3`
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