The velocity - time graph for two bodies A and B are in the ratio

Options

A. `tan25^(@) ` to `tan 50^(@)`
B. `cos 25^(@)` to `cos 50^(@)`
C. `tan 25^(@)` to `tan 40^(@)`
D. `sin 25^(@)` to `sin 50^(@)`

Answer

A

Explanation

As the slope of velocity - time graph gives acceleration , so acceleration a = ` tan theta `
` :. ` From given graph, The acceleration of A is
` a_(A) = tan 25^(@)`
and that of B is
`a_(B) = tan 50^(@)`
Their corresponding ratio is
`(a_(A))/(a_(B)) = (tan25^(@))/(tan50^(@))`