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: $$s_n=u+\frac{1}{2} g(2n-1)$$
$$24=u+\frac{9a}{2}$$
... (i)
$$44=u+\frac{29a}{2}$$
(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: $$s_n=u+\frac{1}{2} g(2n-1)$$
$$20=u+\frac{9a}{2}$$
... (i)
$$36 = u + 17a$$
(ii) - (i) gives
$$16=4a$$
$$a = 4 m/s^2$$
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: $$s_{n}=u+\frac{1}{2} g(2n-1)=2+\left[\frac{1}{2} \times 4 \times 29\right]=2+58=60 m$$