1.

Find the ratio of accelerations of two objects whose vto t graphs make angles 30^(@) and 45^(@) with axis of time.

Answer»

SOLUTION :SLOPE of `v to t` graph `= tan theta`
Slope of `v to t ` graph = acceleration
`THEREFORE` Acceleration` = tan theta`
`therefore (a _(1))/(a _(2)) = ( tan theta _(1))/( tan theta_(2))=(tan 30^(@))/(tan 45^(@))`
`therefore (a _(1))/( a _(2)) = ((1)/( SQRT3))/( 1) = (1)/( sqrt3)`


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