Question

Question 1
A stone is thrown vertically upwards with a initial speed of 10 m/s from the edge of the roof of the house of Height H=20 m
a) how long does it takes for the stone to hit the ground
b) At what velocity it will hit the ground​

Answer 1

Answer:

Answer: The stone will reach the ground in 5 seconds after being thrown upwards from the tower.

Solution. 50km/h,50km/h.

Answer 2

Answer:

a) It will take 2.23 seconds to the stone to hit the ground.

b) The velocity with which it will hit the ground is 22.3 m/s.

Explanation:

Given :

Initial Velocity (u) = 10 m/s

Height (H) = 20 m

Now, finding time to reach maximum limit,

v = u + at

0 = 10 +( -10) t

t = 1 sec

Now, finding the distance from roof to maximum limit :

s = ut + (1/2) at^2

s = 10 × 1 + (1/2)(-10) ×1

s = 5 m

Now, finding time to reach the ground from the maximum height :

s = ut + (1/2) at ^2

25 = 0 + (1/2) ×(10) t^2

25 = 5 t^2

5 = t^2

t = √5 sec = 2.23 sec

Hence, it will take 2.23 seconds for the stone to hit the ground.

Now, Calculating velocity with which it reaches the ground.

v = u + at

v = 0 + 10 × 2.23

v = 22.3m/s

Hence, the final answer is a) 2.23 seconds b) 22.3 m/s

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