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Question

1.A stone falls from a building and reaches the ground in 2.5 seconds latter . How high is the building?

2. A stone dropped from a height of 20meter

i) How long it will take to reach the ground.

ii)what will be it's speed when it hits the ground.

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Solution

1.

We can use the formula S=ut+(1/2)at2

Where u is initial velocity, ‘s’ is distance travelled (Height of the tower in this case), ‘t’ is time travelled and ‘a’ is the constant acceleration.

So , here as the object is dropped , the initial velocity ,u is 0

Acceleration is the acceleration due to gravity ‘g’ which is constant and has value of 9.8m/s2

Time travelled is given as t=2.5 seconds

Substituting the values in the equation s=ut+(1/2)at2we get

s=0 * 2.5 + (1/2)* 9.8 * 2.5^2

s=30.625 meters

So, the height of the tower is 30.625 meters
2.

H=20m/s
u=0
v=?
t=?
v²-u²=2gh
v²-o²=2*10m/s * 20m
v=√400
v=20m/s[velocity with which stone hit the ground]
v=u+gt
20=0+10*t
t=2s[time to reach the ground]


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