Motion Test - 7...

For the graph given below the ratio of average speed to the average velocity in $$( ms^{-1})$$ of the particle is.

Water drops fall at regular intervals from a roof at of $$125\ m$$ from the ground. At an instant when $$11th$$ drop is about leave the roof and $$1st$$ drop is at a height of $$45\ m$$ from the ground at that instant the dist of $$10th$$ drop from the roof is $$(g=10\ m/s^{2})$$

The splash is heard $$2.05 \ s$$ after the stone is dropped into a well of depth $$19.6 \ m$$. The velocity of sound is?

A particle starts from the origin at $$t=0s$$ with a velocity of $$10.0j\ m/s$$ and moves in the $$xy-$$plane with a constant acceleration of the $$(8\hat {i}+2j)ms^{-2}$$. Then $$y-$$coordinate of the particle in $$2\ sec$$ is

A balloon is rising vertically up at constant speed $$10\ m/s$$. A stone is dropped from it when the balloon is at a height of $$40\ m$$. Total distance covered by the stone before reaching the ground is $$(take\ g=10\ m/s^{2})$$

Two cars X and Y accelerate at the rate of 2 $$m/{s^2}$$ respectively from rest.The ratio of time taken by the cars X and Y is 4:5.In that given ratio of time interval if the distance travelled by car x is 100 km then the distance travelled by car y is:

A particle experienced a constant acceleration for $$6$$ seconds after starting from rest. If it travels a distance $$ { d }_{ 1 }$$ in the first two seconds, $$ { d }_{ 2 }$$ in the next $$2$$ seconds, and a distance $$ { d }_{ 3 }$$ in the last $$2$$ seconds, then:

A particle is moving in positive x-direction with initial velocity of $$10\ m/s$$ and uniform retardation such that it reaches the initial position after $$10\ s$$. The distance traversed by the particle in $$6\ s$$ is

A water drop falls at regular intervals from a tap $$9$$ m above the ground. The fourth drop is leaving the tap at the instant, the first drop touches the ground. How high is the third drop at that instant?

 A particle is moving on a circular path of radius R with constant speed $$v_0$$. What is the change in magnitude of velocity when it completes $$\frac{{{3^{th}}}}{4}$$ of the complete circular path ?