Question

The distance 'S' (in kms) travelled by a particle in time ‘t’ hours is given by
$\text{S(t)}=\frac{{\text{t}}^2+2}{2}$.
Find the distance travelled by the particle after 8.5 hours approximately.

• A. 38.06 kms
• B. 38.26 kms
• C. 37.13 kms
• D. 38.36 kms

Answer 1

The correct option is C 37.13 kms

Given: $\text{S(t)}=\frac{{\text{t}}^2+2}{2}$
To find 'S' at t = 8.5 hours.
$\text{S(8.25)}=\frac{{\text{8.5}}^2+2}{2}$
$=\frac{72.25+2}{2}$
= 37.125
Hence, the distance travelled by the particle in 8.5 hours is 37.13 kms, approximately.