The velocity - time graph for two bodies A and B are shown in figure. Then, the acceleration of A and B are in the ratio

Options

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

Answer

D

Explanation

The slope of velocity-time graph gives acceleration,
i.e., `(a_(A))/(a_(B))=(tan theta_(1))/(tan theta_(2))`
`rArr (a_(A))/(a_(B))=(tan 25^(@))/(tan 50^(@))`