MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Freefall & Motion

A stone is th...

Question

A stone is thrown vertically upwards with a velocity odf 19.6m/s. After 2s another stone is thrown upwards with a velocity of 9.8m/s. When and where will the two stones collide??

Open in App

Solution

$F o r t h e f i r s t s t o n e, i n i t i a l v e l o c i t y = 19.6 m / s t i m e t a k e n t o r e a c h h e i g h e s t p o i n t i s t v = u + a t 0 = 19.6 - 9.8 t t = 2 s m a x i m u m h e i g h t h h = u t + \frac{1}{2} a t^{2} h = 19.6 \times 2 - 0.5 \times 9.8 \times 4 h = 19.6 m w h e n f i r s t s t o n e i s a t t h e t o p m o s t p o i n t t h e n s e c o n d s t o n e i s t h r o w n . l e t x i s t h e d i s \tan c e t r a v e l l e d w h e r e t h e y m e e t i n t i m e t_{1} x = \frac{1}{2} g {t_{1}}^{2} f o r s e c o n d s t o n e d i s \tan c e t r a v e l l e d i s h - x h - x = 9.8 t_{1} + 0.5 \times 9.8 \times {t_{1}}^{2} o n s o l v i n g t h e s e t w o e q u a t i o n s w e g e t t_{1} = 2 s a n d x = 19.6 m s o t h e s e t w o s t o n e s m e e t a t g r o u n d a f t e r 2 + 2 = 4 s .$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A stone is dropped from a height of

300

m and at the same time another stone is projected vertically upwards with a velocity of

100

m s^{- 1}

. Find when and where the two stones meet.

Q. A stone is thrown upwards with a velocity

50 m g^{- 1}

. Another stone is simultaneously thrown downwards from the same location with a velocity

50 m s^{- 1}

. When the first stone is at the highest point, the relative velocity of the second stone w.r.t. the first stone is:

Q. A piece of stone is thrown vertically upwards. It reaches the maximum height in 3 seconds. If the acceleration of the stone be 9.8 m/s² directed towards the ground, calculate the initial velocity of the stone with which it is thrown upwards.

Q. A stone is thrown upwards from a tower with a velocity

50 m s^{- 1}

. Another stone is simultaneously thrown downwards from the same location with a velocity

50 m s^{- 1}

. When the first stone is at the highest point, the relative velocity of the second stone with respect to the first stone is (assume that second stone has not yet, reached the ground

Q. An object is allowed to fall freely from a tower of height 39.2 m ; In exactly at the same time another stone is thrown from the bottom of the in tower in vertically upward direction with a velocity of 19.6

m s - 1

Calculate when and where these two stones would meet ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Free Fall

PHYSICS

Watch in App

explore_more_icon

Explore more

Freefall & Motion

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon