Question

9. An object moving along a straight line covers equal distances in equal intervals of time, it is said to be in uniform motion along a straight line. a) The position - time graph of an object in uniform motion is........... i) a straight line parallel to the time axis. ii) a straight line parallel to the position axis. iii) a straight line inclined to the time axis. iv) a parabola.

Answer 1

Answer:

The position - time graph of an object in uniform motion is a straight line parallel to the time axis.

Explanation:

The position-time graph in uniform motion will be a straight line without any curve or bend  and the slope of the p-t graph gives the velocity of an object moving with uniform velocity.

Answer 2

The position-time graph for uniform motion is iii) a straight line inclined to the time axis.

Position-time graph for uniform motion

• A position-time graph is a graph having position and time across the X and Y-axis.

• A uniform motion is one where the object covers equal distances in equal intervals of time. For this reason, the position-time graph for a uniform motion will be a line inclined to the time axis since the object's velocity is dependent on the position and the time.
• From the position-time graph, we can infer that the velocity will be:
• Speed= distance/time =Tanθ
• Tanθ = $x_{2} - x_{1}$ ÷$t_{2}- t_{1}$

Thus, the position-time graph of an object in uniform motion is iii) a straight line inclined to the time axis.

(#SPJ3)