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Question

A bird is flying at a height of 1200 m from the ground. A hunter shot the bird standing on a hill of height 600m. If the height from which he fired is 1 meter above the hill, find the distance travelled by the bullet to reach the bird? He missed in the first attempt and fired again but by then the bird was 1300 m from the ground. Find the distance travelled by the bullet in the second attempt.
[4 MARKS]

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Solution

First attempt: 2 Marks
Second Attempt: 2 Marks

Distance of the bird from the ground surface in the first attempt = 1200m

Distance of the hunter from the ground surface = 600m

Distance of the bird from the hunter
= 1200m - 600m = 600m

But, when the hunter stands, the height of the gun from ground = 600 + 1 = 601m

So, distance traveled by bullet in the first attempt= 1200 - 601= 599m

Distance of the bird from the ground surface in the second attempt = 1300m

Distance traveled by the bullet in the second attempt= 1300 - 601 = 699m


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