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) ($1 \mathrm{m} / \mathrm{s}^{2}$)
2) ($2 \mathrm{m} / \mathrm{s}^{2}$)
3) ($4 \mathrm{m} / \mathrm{s}^{2}$)
4) ($0.5 \mathrm{m} / \mathrm{s}^{2}$)
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 ($20=10a$) ($a=2 \mathrm{m} / \mathrm{s}^{2}$)
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 ($\mathrm{m} / \mathrm{s}^{2}$) ) 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/s2
Q3. A particle starts moving along a straight line with velocity ' ($u$) ' and a constant acceleration ' ($a$) ', the initial velocity is
1) ($1 \mathrm{m} / \mathrm{s}$)
2) ($-1 \mathrm{m} / \mathrm{s}$)
3) ($2 \mathrm{m} / \mathrm{s}$)
4) ($-2 \mathrm{m} / \mathrm{s}$)
Hint: ($s_{9}=u+\frac{1}{2}(4)[2(9)-1]$) ($36=u+34$) ($u=2 \mathrm{m} / \mathrm{s}$)
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: ($s_{n}=u+\frac{1}{2} g(2n-1)=2+\left[\frac{1}{2} \times 4 \times 29\right]=2+58=60m$)