plz sove 18 i am unable to solve plz help
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the answer is (b) , y = 3x.
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Distance traveled in first 10 seconds
[tex]x = ut_{1} + \frac{1}{2}at_{1} ^{2} \\ x=0(10)+ \frac{1}{2}a(10 ^{2}) \\ x= 50 a [/tex]
Distance traveled in next 10 seconds
![y= (ut_{2} + \frac{1}{2}at_{2} ^{2})-(ut_{1} + \frac{1}{2}at_{1} ^{2}) \\ y= (u(20) + \frac{1}{2}a20 ^{2})-(u(10) + \frac{1}{2}a(10 ^{2}) \\ y= 200a - 50 a \\ y=150 a y= (ut_{2} + \frac{1}{2}at_{2} ^{2})-(ut_{1} + \frac{1}{2}at_{1} ^{2}) \\ y= (u(20) + \frac{1}{2}a20 ^{2})-(u(10) + \frac{1}{2}a(10 ^{2}) \\ y= 200a - 50 a \\ y=150 a](https://tex.z-dn.net/?f=y%3D+%28ut_%7B2%7D+%2B+%5Cfrac%7B1%7D%7B2%7Dat_%7B2%7D+%5E%7B2%7D%29-%28ut_%7B1%7D+%2B+%5Cfrac%7B1%7D%7B2%7Dat_%7B1%7D+%5E%7B2%7D%29+%5C%5C+y%3D+%28u%2820%29+%2B+%5Cfrac%7B1%7D%7B2%7Da20+%5E%7B2%7D%29-%28u%2810%29+%2B+%5Cfrac%7B1%7D%7B2%7Da%2810+%5E%7B2%7D%29+%5C%5C+y%3D+200a+-+50+a+%5C%5C+y%3D150+a)
Comparing both results
[tex]a= \frac{x}{50} \\ a= \frac{y}{150} \\ \frac{x}{50}= \frac{y}{150} \\ y= 3x [/tex]
[tex]x = ut_{1} + \frac{1}{2}at_{1} ^{2} \\ x=0(10)+ \frac{1}{2}a(10 ^{2}) \\ x= 50 a [/tex]
Distance traveled in next 10 seconds
Comparing both results
[tex]a= \frac{x}{50} \\ a= \frac{y}{150} \\ \frac{x}{50}= \frac{y}{150} \\ y= 3x [/tex]
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