Question

explain why constant velocity has zero acceleration​

Answer 1

Answer:

Acceleration is change in velocity, and there is no change in constant velocity, since its same throughout the motion, and hence Acceleration is 0 under constant Velocity

Answer 2

Answer:

Yes, it is well said that constant velocity has zero acceleration. If the body isn't increasing or decreasing its velocity then ofcourse its velocity must be zero. Let us understand this by taking an example!

Let us consider, BrainlyButterfliee is going to walk and she is moving with a velocity of 2 metre per second and afterwards when noticed then also she is moving with the velocity of 2 mps in short her velocity isn't changing that is constant and she take time for this journey as 10 seconds. Now let's see her acceleration.

In short, here initial velocity is 2 mps, final velocity is 2 mps and time taken is 10 seconds.

$:\implies \sf Acceleration \: = \dfrac{Change \: in \: velocity}{Time} \\ \\ :\implies \sf a \: = \dfrac{v-u}{t} \\ \\ :\implies \sf a \: = \dfrac{2-2}{10} \\ \\ :\implies \sf a \: = \dfrac{0}{10} \\ \\ :\implies \sf a \: = 0 \: ms^{-2} \\ \\ :\implies \sf Acceleration \: = 0 \: ms^{-2}$

Henceforth, proved that constant velocity has zero acceleration.

Additional information:

→ In a velocity-time graph, the slope of graph tell us about the acceleration. Yes, the acceleration can be negative or zero too even we know that acceleration can be positive too. If the slope is high then the acceleration is positive, if the slope is low then the acceleration is negative and if the slope is parallel to time axis then there is no acceleration taking place as if the velocity is constant then ofcourse the acceleration is zero.

↪️ A v-t graph parallel to x axis, represents, uniform motion of a body that have a constant speed

↪️ The slope of D-T graph gives the _____ of the object in motion.

• The slope of Distance Time or Displacement Time graph give the speed of the object in motion.

↪️ Distance or displacement are same in the matter of graphs in motion

↪️ Speed and velocity are same in the matter of graphs in motion

↪️ The slope of V-T graph gives the _____ of the object in motion.

• The slope of Velocity Time graph give the acceleration of the object in motion.

↪️ The area under curve of V-T graph gives the _____ of the object in motion.

• The area under curve of Velocity Time graph gives the distance/displacement of the object in motion. $\:$