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Time and Distance Practice Test 4 with solutions
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© examsnet.com
Question : 7
Total: 38
After striking the floor, a ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 meters.
540 meters
960 meters
1,080 meters
1,120 meters
Validate
Solution:
Distance covered by ball just before it hits the ground for the first time = 120 feet
In the second round, the distance covered by the ball =
(
120
×
4
5
)
×
2
In the third round, the distance covered by the ball =
120
×
(
4
5
)
2
×
2
In the fourth round, the distance covered by the ball =
120
×
(
4
5
)
2
×
2
Hence, the required distance :
=
120
+
2
[
120
×
4
5
+
120
×
16
25
+
120
×
64
125
+
.
.
]
=
120
+
2
×
120
[
4
5
+
16
25
+
64
125
+
.
.
.
]
= 120 +
240
[
4
5
1
−
4
5
]
= 120 +
240
[
4
5
×
5
1
]
= 120 + 960 = 1,080 metres
© examsnet.com
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