Question

The distance-time graph for a uniform
motion is :
Straight line parallel tox-axis.
B) Straight line parallel to y-axis.
c) Curved line
D) Straight line having 45° to x-axis.​

Answer 1

Answer:

option D) Straight line having 45° to x-axis

Explanation:

Uniform motion :

• It is the type of motion wherein the object travels equal distances in equal intervals of time.
• In this case, the velocity of the object remains constant.
• Since the velocity is constant, acceleration of the object is zero.
• Examples : movements of the hands of a clock, movement of a fan.

A distance-time graph shows the distance object has travelled in a given time.

• Distance is plotted on the Y-axis.

• Time is plotted on the X-axis.

The distance - time graph for a uniform motion is straight line having 45° to x-axis.

      $\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(0,2){18}}\multiput(19.35,20)(0,2){8}{\line(1,0){1.3}}\multiput(20,19.35)(2,0){8}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20,20)(20,20)(34, 35) \end{picture}$

It'll be a straight line passing through origin as the object travels equal distances in equal intervals of time.

 Slope = distance/time = velocity = constant (in uniform motion)

Non-uniform motion :

• It is the type of motion wherein the object does not travel equal distances in equal intervals of time.
• In this case, the velocity of the object is not constant.
• Examples : movements of an asteroid, movement of a bouncy ball.

The distance - time graph for non-uniform motion is not a straight line as the velocity of object in this motion is not constant.

Slope = distance/time = velocity = not constant

____________________________