Question

Distance time graph of a body is straight line making an angle of 30 degree with distance axis. What is its speed?

Answer 1

Step 1: Given that:

The graph of distance time is a straight line.

The angle made by the graph with distance axis = ${30}^0$

Therefore the angle made by the graph with time axis = $({90}^0-{30}^0)={60}^0$

Step 2: Calculation of the speed:

The speed of a body = Slope of the distance-time graph

= $\tan {60}^0$

= $\sqrt{3}$ unit

Thus,

The speed of the body = $\sqrt{3}unit$