Question

Given figure shows the displacement of the body moving a straight line at different times. the velocity of the body during AB is


(A) 4 m/s
(B) 1 m/s
(C) zero
(D) 2 m/s
​

Answer 1

velocity of body is dx/dt = slope

velocity here = slope of the line = Y2-Y1/X2-X1. = 4-0/5-1 = 4/4 = 1 m/s

Answer 2

The velocity of the body during AB is (B) is 1 m/s

Velocity of any object is defined by the rate of displacement of that object at a particular given period of time.

    $Velocity=\frac{Displacemnet}{Time}$

• For a given graph, if the graph is plotted as s vs t where s = displacement and t = time, the slope of the graph represents the velocity of the object.

• To determine it, draw a tangent and calculate the slope.

Here, in the given graph plotted against displacement vs time, during AB,

Displacement = (4-0) m = 4 m

Time = (5-1) = 4 m

∴ The velocity will be = 4/4 m/s

                                   = 1 m/s

∴ The velocity of the body during AB is (B) is 1 m/s.