Paper Questions (Raw)
Q1. An uniformly accelerated body travels a distance of 24 m in ( 5^{\text {th }} ) second of its motion and 44 m in ( 15^{\text {th }} ) sec of its motion. The acceleration of the particle will be
1) ( 1 m / s^{2} )
2) ( 2 m / s^{2} )
3) ( 4 m / s^{2} )
4) ( 0.5 m / s^{2} )
Hint: $$ s_n = u + \frac{1}{2} g(2n-1) $$
$$ 24 = u + \frac{9 a}{2} $$
( \ldots ) (i)
$$ 44 = u + \frac{29 a}{2} $$
(ii)(ii) - (i) gives
$$ 20 = 10a $$
$$ a = 2 m / s^{2} $$
Q2. A body, starting with some velocity, experiences uniform acceleration. It travels a distance of 20 m in ( 5^{\text {th }} ) second and 36 m in ( 9^{\text {th }} ) second. The acceleration of the particle (in ( m / s^{2} ) ) is
Hint: $$ s_n = u + \frac{1}{2} g(2n-1) $$
$$ 20 = u + \frac{9 a}{2} $$
( \ldots ) (i)```36 = u + 17a``` (ii)```(ii) - (i) gives``` ```16=4a``` ```a = 4 m/s2```
Q3. A particle starts moving along a straight line with velocity ' ( u ) ' and a constant acceleration ' ( a ) ', the initial velocity is
1) ( 1 m / s )
2) ( -1 m / s )
3) ( 2 m / s )
4) ( -2 m / s )
Hint: $$ s_9 = u + \frac{1}{2}(4)[2(9)-1] $$
$$ 36 = u+34 $$
$$ u = 2 m / s $$
Q4. A particle starts moving along a straight line with velocity ' ( u ) ' and a constant acceleration ' ( a ) ', the distance it travels in ( 15{ }^{\text {th }} ) second is
1) 54 m
2) 58 m
3) 60 m
4) 64 m
Hint: $$ s_n = u + \frac{1}{2} g(2 n-1) = 2 + \left[\frac{1}{2} \times 4 \times 29\right] = 2+58=60 m $$