Q 1 :    

A body travels 102.5 m in $n^{th}$ second and 115.0 m in ${(n+2)}^{th}$ second. The acceleration is                                       [2024]

• $5 m/s^2$

   

• $12.5 m/s^2$

   

• $6.25 m/s^2$

   

• $9 m/s^2$

   

Q 2 :    

A body starts moving from rest with constant acceleration covers displacement $S_1$ in first $(p-1)$ seconds and $S_2$ in first $p$ seconds. The displacement $S_1+S_2$ will be made in time                                               [2024]

• $(2p+1)s$

   

• $\sqrt{(2p^2-2p+1)}s$

   

• $(2p-1)s$

   

• $(2p^2-2p+1)s$

   

Q 3 :    

A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4 s after applying the brakes. The distance travelled by the bus during this time (assume the retardation is uniform) is _______ m.                [2024]

Q 4 :    

A body moves on a frictionless plane starting from rest. If $S_n$ is distance moved between $t=n-1$ and $t=n$ and $S_{n-1}$ is distance moved between $t=n-2$ and $t=n-1,$ then the ratio $\frac{S_{n-1}}{S_n}$ is $(1-\frac{2}{x})$ for $n=10.$ The value of $x$ is __________ .              [2024]

Q 5 :    

The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t+1)$ s are 125 m and 50 m/s, respectively. The distance travelled by the particle in ${(t+2)}^{th}s$ is __________ m.           [2024]