Over a period of 15s,a plane changes it's velocity from 250kmph to 150kmph at a uniform rate of acceleration.How far does the plane travel during this amount of time?
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Over a period of 15s,a plane changes it's velocity from 250kmph to 150kmph at a uniform rate of acceleration.How far does the plane travel during this amount of time?
Please help me..
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[tex]\huge{\underline{\green {\sf {Answer:}}}}[/tex]
[tex]\underline {\bold{\pink {Given:}}}[/tex]
➣[tex]u=250 \ km/h = 69.44 \ m/s[/tex]
➣[tex]v = 150\ km/h = 41.67\ m/s[/tex]
➣[tex]t = 15 \ s[/tex]
➣[tex]s = ? \ (to \ be \ found)[/tex]
[tex]\underline{\bold{\pink{Solution:}}}[/tex]
✮By formula :
[tex]\boxed{a = \dfrac{v-u}{t}}[/tex]
✦Putting values :
➫[tex]a = \dfrac{41.67 - 69.44}{15}[/tex]
➫[tex]a = \dfrac{-27.77}{15}[/tex]
➫[tex]\red{\boxed{\implies{\boxed{a = -1.85 \ m/s^2}}}}[/tex]
✮By formula :
[tex]\boxed{s = \dfrac{v^2 - u^2 }{2a}}[/tex]
✦Putting values :
➫[tex]s = \dfrac{(41.67)^2 - (69.44)^2}{2 \times -1.85}[/tex]
➫[tex]s = \dfrac{1736.38 - 4821.91}{-3.7}[/tex]
➫[tex]s = \dfrac{-3,085.53}{-3.7}[/tex]
[tex]\blue{\boxed{\implies{\boxed{s=833.93 \ m}}}}[/tex]
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