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Question
Obtain a relation for the distance travelled by an object moving with uniform acceleration in the interval between 4th and 5th seconds.
Solution
Let the object be moving with initial velocity u ms−1 and uniform acceleration an ms−2
∴ The distance travelled by the moving object
in ts is, s = `"ut" + 1/2 "at"^2`
Now distance travelled in 4s,
s4 = `"u" xx 4 + 1/2 "a" xx 4^2`
= 4u + 8a
Distance travelled in 5s
s5 = `"u" xx 5 + 1/2 "a" xx 5^2`
= `5"u" + 25/2 "a"`
∴ Distance travelled in the interval between 4th and 5th second
= `(5"u" + 25/2 "a") - (4"u" + 8"a")`
= `("u" + 9/2"a")"m"`
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