A ball is dropped from the edge of a roof. it takes 0.1 s to cross a window of height 2.0m. find the height of the roof above the top of the window ______________
(a) 1.96m
(b) 196m
(c) 96m
(d) 19.6m
Answers
Answer:
1.96
Explanation:
as the ball will fall so we will multiply the 0.1 and 2.0m as ball us at the edge of the window then we will divide 1.96 by 0.1 so the answer is 1.96
Answer:
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Explanation:
We first consider the movement of ball as it covers the length of the window...
we know that
s2 = ut + (1/2)at2
now,
let the initial velocity be v1
time taken, t = 0.1s
distance, s2 = 2m
acceleration, a = g = 9.81 m/s2
so,
2 = 0.1v1 + (1/2)x9.81x0.12
or solving further
0.1v1 = 2 - 0.049
thus, we have
v1 = 19.5 m/s
now,
let us consider the situation when the ball crossed the distance between the edge of the roof and top of the window.
we know that
v2 - u2 = 2as
here,
s is to be determined
u = initial velocity = 0
v = v1 = 19.5 m/s
so,
s1 = [v2 - u2] / 2a
= [19.52 - 0] / 2x9.81
thus, we get
s1 = 19.4 m
∴ Your answer is d) 19.6 m
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