A rocket is fired upward from the earth's surface such that it creates an acceleration of . If after , its engine is switched off, the maximum height of the rocket from earth's surface would be
Get Answer
Velocity when the engine is switched off
where
A man throws balls with same speed vertically upwards one after the other at an interval of . What should be the speed of throw so that more than two balls are in air at any time?
Only with speed
More than
At least
Any speed less then .
Height attained by balls in is
the same distance will be covered in 2 second (for descent) Time interval of throwing balls, remaining same. So, for two balls remaining in air, the time of ascent or descent must be greater than 2 seconds. Hence speed of balls must be greater than .
A ball is dropped from a high rise platform at starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed . The two balls meet at . What is the value of ? (take )
Clearly distance moved by ball in distance moved by ball in .
Now, distance moved in by ball
Distance moved in by ball
.
A stone falls freely under gravity. It covers distances , and in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between and is
and
or
From a building two balls and are thrown such that is thrown upwards and downwards (both vertically). If and are their respective time of flights then
their time of flights depend on their masses.
A ball is released from the top of tower of height metre. It takes second to reach the ground. What is the position in (m) from the ground of the ball in second?
sec, the distance travelled
Position of the ball from the ground
A ball is dropped vertically from a height above the ground. It hits the ground and bounces up vertically to a height . Neglecting subsequent motion and air resistance, its velocity varies with the height above the ground as
Before hitting the ground, the velocity is given by
Further,
As the direction is reversed and speed is decreased and hence graph (a) represents these conditions correctly.
A stone is dropped into a well in which the level of water is below the top of the well. If is velocity of sound, the time after which the splash is heard is given by
Timetaken by the stone to reach thewater level Time taken by sound to come to the mouth of the well, Total time :
A stone is dropped from the top of a building. When it crosses a point below the top, another stone starts to fall from a point below the top. Both stones reach the bottom of building simultaneously. The height of the building is
Height of the building
For stone-
And for stone-2,
Putting value of from eq. (ii) in eq. (i)
Therefore,
The balls are released from the top of a tower of height at regular interval of time. When first ball reaches at the ground, the ball is to be just released and ball is at same distance ' ' from top of the tower. The value of is
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