Question

Obtain a relation for the distance travelled by an object moving with uniform acceleration in the interval between 4th and 5th seconds.

Answer 1

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 4^th and 5^th second

= `(5"u" + 25/2 "a") - (4"u" + 8"a")`

= `("u" + 9/2"a")"m"`