A body dropped from the top of a tower covers 45 m in the last second
its fall. Find the height of the tower.
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Answer:
Given:-
Initial velocity(u)=0
Acceleration due to gravity(g)=10m/s²
Distance travelled in the last 1 second=45m
To find:-
Height of the tower(h)
Solution:-
Let the total distance travelled be h
Time taken to travel (h-45)=t-1 second
By h=1/2gt²-----
=>h=1/2×10×t²
=>h=5t² -------(1)
Now-----
=>(h-45)=1/2×g×(t-1)²
=>5t²-45=1/2×10(t-1)² (Putting value of h from eq. 1)
=>5t²-45=5(t-1)²
=>5t²-45=5t²+5-10t
=>-45-5= -10t
=>-50= -10t
=>t=-50/-10
=>t=5s
Now,by putting value of t in equation 1-----
=>h=5(5)²
=>h=125
Thus,height of the tower is 125m.
Explanation:
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