Motion in A Str...

A balloon starts rising from the ground, vertically upwards uniformly at the rate of $$\displaystyle 1\ { ms }^{ -1 }$$ . At the end of $$4$$ seconds, a body was released from the balloon. Calculate the time taken by the released body to reach the ground. Take $$\displaystyle g = 10\ { ms }^{ -2 }$$

Two stones A and B are dropped from the top of two different towers such that they travel $$44.1$$ m and $$63.7$$ m in the last second of their motion respectively. Find the ratio of the heights of the two towers from where the stones were dropped.

An object projected vertically up from the top of the tower took $$5$$ s to reach the ground. The average velocity of the object is  $$\displaystyle 5 { ms }^{ -1 })$$, find its average speed. (given  $$\displaystyle g\ = 10 { ms }^{ -1 })$$.

A ball thrown vertically upwards with speed 'u' from the top of a tower reaches the ground in $$9$$ s. Another ball is thrown vertically downwards from the same position with speed 'u', takes $$4$$ s to reach the ground. Calculate the value of 'u' . $$\displaystyle (Take \ g= 10 { ms }^{ -1 })$$ 

A ball which is thrown vertically up from the top of the tower reaches the ground in $$12$$ s. Another ball thrown vertically downwards from the same position with the same velocity takes $$4$$ s to reach the ground. Find the height of the tower. $$\displaystyle (Take\ g = 10 {ms}^{-2} ) $$

A body is dropped from a certain height 'h' meters. Assuming that the gravitational field is nullified, after the body has travelled $$\dfrac{h}{2}$$ meters such that g $$= 0, $$discuss the motion of the body. Find an expression for the time taken by the body to reach the ground.   

A ball thrown vertically upwards with speed 'u' from the top of a tower reaches the ground in $$9$$ s. Another ball is thrown vertically downwards from the same position with speed 'u'. take $$4$$ s to reach the ground. Calculate the value of 'u'. $$\displaystyle (Take \quad g = 10 { ms }^{ -2 })$$ 

For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is 

A ball is thrown upwards. Its height varies with time as follows:

If the acceleration due to gravity is $$7.5   {m}/{{s}^{2}}$$, then the height $$h$$ is :

A coin tossed in the air with a velocity of 30 m/s reaches back to the thrower in 0.4 sec. What is the highest point reached by the coin?