Question

A body covers 26, 28, 30, 32 meters in $10^{th}$, $11^{th}$, $12^{th}$ and $13^{th}$ seconds respectively. The body starts

• A. from rest and moves with uniform velocity
• B. from rest and moves with uniform acceleration
• C. with an initial velocity and moves with uniform acceleration
• D. with an initial velocity and moves with uniform velocity

Answer 1

Answer: (C)

The distance covered in nth second is $S_n=u+\frac{1}{2}(2n-1)a$
where u is initial velocity & a is acceleration then $26=u+\frac{19a}{2}$ .....(1)
$28=u+\frac{21a}{2}$ ....(2)
$30=u+\frac{23a}{2}$ .....(3)
$32=u+\frac{25a}{2}$ ......(4)
From eq. (1) & (2) we get u = $7m/\sec ,a=2m/{\sec }^2$
$\therefore$ The body starts with initial velocity u = 7 m/sec
and moves with uniform acceleration $a=2m/{\sec }^2$