Question

Figure shows the displacement-time graphs (a) and (b) for a body moving in a straight path drawn on the same scales. Then

• A. slope of line in (a) is greater than the slope of line in (b)
• B. slope of line in (b) is greater than the slope of line in (a)
• C. slope of line in (a) is equal to the slope of line in (b)
• D. nothing can be said about the slopes

Answer 1

The correct option is A slope of line in (a) is greater than the slope of line in (b)

slope of any graph is given by $dy/dx=Tan\theta$

means change of function y with respect to function x.

$\theta$ is angle made by the graph with x axis.

as angle for a is greater then that of b so as $Tan\theta$ is increasing between 0 to 90, so $Tan{\theta }_a$>$Tan{\theta }_b$

so slope of a is greater then that of b.

beat possible answer is optionA.