J J Science Academy

Subject: Physics Topic: 4. Linear kinematics SubTopic: 4.5 Distance travelled in nth second Test Type: NEET

1) 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 $$20=10a$$ $$a=2 m / s^{2}$$

2) 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

1) 4

2) 2

3) 6

4) 8

Hint: $$s_n=u+\frac{1}{2}g(2n-1)$$ $$20=u+\frac{9a}{2}$$ (i) $$36 = u + \frac{17a}{2}$$ (ii) - (i) gives $$16=4a$$ $$a = 4 m/s2$$

3) 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: $$s_9=u+\frac{1}{2}(4)[2(9)-1]$$ $$36=u+34$$ $$u=2 m / s$$

4) 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: $$s_n=u+\frac{1}{2}g(2n-1)=2+\left[\frac{1}{2} \times 4 \times 29\right]=2+58=60 m$$