Question

What is the slope of velocity time graph represents

Answer 1

Answer: Acceleration.

Explanation:

$\sf We\:know\:that,$

$\sf ``Acceleration\:is\:the\:rate\:of\:change\:of\:velocity\:with\:respect\:to\:time."$

$\setlength{\unitlength}{100}\begin{picture}(1,1)\put(0,0){\line(0,1){1}}\put(0,0){\line(1,0){1}}\put(0.4,-0.1){ \tt T(s) }\put(-0.4,0.5){ \tt V(m/s) }\put(0,0){\line(1,1){1}}\end{picture}$

$\sf From\:the\:graph\:the\:slope\:is,$

$\sf Slope=\dfrac{v_2-v_1}{t_2-t_1}=\dfrac{Change\:in\:velocity}{Change\:in\:time} =Acceleration(a)$

Therefore, the slope of the velocity time graph gives Acceleration.

Answer 2

Answer:

Explanation:

The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. I

f the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).