Question Text
Question 1 :
A car starting from rest acquires a velocity of $180 m{s}^{-1}$ in $0.05 hr$. Find the acceleration.
Question 2 :
The initial velocity of a particle is $ \left( 3\hat { i } +4\hat { j }  \right)  m s^{-1} $ and its acceleration is $ \left( 0.4\hat { i } +0.3\hat { j }  \right)   m s^{-2}$  Its speed $ ( m s^{-1} $) after 20 s of motion is <br/>
Question 3 :
A person sitting on the top of a tall building is dropping balls at regular intervals of one second. When the $6^{th}$ ball is being dropped, the positions of the $3^{rd}$, $4^{th}$ and $5^{th}$ balls from the top of the building are respectively:
Question 4 :
A bullet moving at $20 m/sec$. It strikes a wooden plank and penetrates $4cm$ before coming to stop. The time taken to stop is:
Question 5 :
A body is dropped from the top of a tower. It acquires a velocity of $20\ ms^{-1}$ on reaching the ground. Calculate the height of the tower. (Take $g=10\ ms^{-2}$)
Question 6 :
Two cars are moving in the same direction with the same speed of $30km/hr$. They are separated by $5km$. What is the speed of car moving in the opposite direction if it meets the two cars at an interval of $4$ minute:
Question 7 :
A ball is thrown vertically upwards with a velocity 'u' from the balloon descending with velocity v. The ball will pass by the balloon after time.
Question 8 :
A body thrown vertically up reaches a maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of :<br/>
Question 9 :
A body is dropped from the roof of a multi-storeyed building. It passes the ceiling of the $15^{th}$ storey at a speed of $20\ m/s$ . If the height of each storey is $ 4\ m$, the number of storeys in the building is (take $g  = 10\ m/s^2$ and neglect air resistance)