Question

Two Stones are projected from the top
of the tower loom Height each with a
velocity Of 20m/s one its Projected velocity
Ub blord and the other velocity, down Ward
Calculate the time each stones takes to
reach the ground with what velocity
Will it strike
the ground​

Answer 1

Hello Dear !!

Solution :-

For the first stone -

Let s' be the distance traveled by the stone in upward direction.

u = 20 m/s

v = 0

a = - 9.8 m/s²

We know that,

⇒ v² - u² = 2as

⇒ (0)² - (20)² = 2 × (- 9.8) × s'

⇒ s' = 20.40 m.

Also,

t' = v - u/a

⇒ t' = 0 - 20/- 9.8

⇒ t' = 2 seconds

Now, distance or height = 20.40 m

t = ?  u = 0

We know that

⇒ s = ut + 1/2 at²

⇒ 20.40 = 1/2 × 9.8t²  (a = g)

⇒ t = 4.95 seconds

Total time = t' + t = 6.95 s

For second stone -

We know that,

⇒ v² - u² = 2gh

⇒ v² - (20)² = 2 × 9.8 × 10

⇒ v² = 48.59 m/s²

Now,

t = v - u/g

⇒ t = 48.59 - 20/9.8

⇒ t = 2.92 second

hope this helps u