A body travels 30m in the interval of 2sec and 50m in the next interval of 2sec, then the acceleration of the body is ?
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As we know that acceleration is equal to
![a = \frac{v - u}{t} a = \frac{v - u}{t}](https://tex.z-dn.net/?f=+a+%3D++%5Cfrac%7Bv+-+u%7D%7Bt%7D+)
We know the distance/displacement in this case so we can calculate its initial velocity/speed which is equal to
![\frac{distance \: covered \: in \: the \: first \: inerval}{time \: taken \: } \frac{distance \: covered \: in \: the \: first \: inerval}{time \: taken \: }](https://tex.z-dn.net/?f=+%5Cfrac%7Bdistance+%5C%3A+covered+%5C%3A+in+%5C%3A+the+%5C%3A+first+%5C%3A+inerval%7D%7Btime+%5C%3A+taken+%5C%3A+%7D+)
![= \frac{30}{2} = 15m {s}^{ - 1} = \frac{30}{2} = 15m {s}^{ - 1}](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7B30%7D%7B2%7D++%3D+15m+%7Bs%7D%5E%7B+-+1%7D+)
While the final velocity will be equal to
![\frac{distance \: covered \: in \: the \: last \: interval}{time \: taken} \frac{distance \: covered \: in \: the \: last \: interval}{time \: taken}](https://tex.z-dn.net/?f=+%5Cfrac%7Bdistance+%5C%3A+covered+%5C%3A+in+%5C%3A+the+%5C%3A+last+%5C%3A+interval%7D%7Btime+%5C%3A+taken%7D++)
![= \frac{50}{2} m {s}^{ - 1} = 25m {s}^{ - 1} = \frac{50}{2} m {s}^{ - 1} = 25m {s}^{ - 1}](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7B50%7D%7B2%7D+m+%7Bs%7D%5E%7B+-+1%7D++%3D+25m+%7Bs%7D%5E%7B+-+1%7D+)
If we input the value in the equation of acceleration then
![a = \frac{v - u}{t} = \frac{25 - 15}{2} = 10 \div 2 = 5m {s}^{ - 2} a = \frac{v - u}{t} = \frac{25 - 15}{2} = 10 \div 2 = 5m {s}^{ - 2}](https://tex.z-dn.net/?f=+a+%3D++%5Cfrac%7Bv+-+u%7D%7Bt%7D++%3D++%5Cfrac%7B25+-+15%7D%7B2%7D++%3D+10+%5Cdiv+2+%3D+5m+%7Bs%7D%5E%7B+-+2%7D+)
The time elapsed will be 2 because the body cahnged its velocity in next 2 second if we plot v - t graph we can observe it. And hence the answer being
![5m {s}^{ - 2} 5m {s}^{ - 2}](https://tex.z-dn.net/?f=5m+%7Bs%7D%5E%7B+-+2%7D+)
Hope it helps you and if possible then please mark it as the brainliest answer
We know the distance/displacement in this case so we can calculate its initial velocity/speed which is equal to
While the final velocity will be equal to
If we input the value in the equation of acceleration then
The time elapsed will be 2 because the body cahnged its velocity in next 2 second if we plot v - t graph we can observe it. And hence the answer being
Hope it helps you and if possible then please mark it as the brainliest answer
gnrao:
thank you soooo much dear
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