Can an object be increasing in speed as its acceleration decreases? if so, give an example. if not, explain.

Yes, the speed of an object can be increasing when its acceleration is decreasing.

Explanation:

Acceleration can be defined as the rate of change of velocity but the speed is just the magnitude of the velocity. Consider a situation in which change in velocity is smaller, then the acceleration in that situation is smaller as compare to when change in velocity is large.

Now take an example when the car is moving with a speed of 15 km/hr now the car accelerates, and the speed will become 30 km/hr in a given time.

Now take the same time which is take previously and accelerate again to the speed of 40 km/hr.

Therefore the change in velocity in the second case is relatively smaller than the change in the velocity in the first case in equal span of time.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

the answer is 12 as i may remember

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