A person aims a gun at a bird from a point at a horizontal distance of 100m. If the gun can impart a speed of 500m/s to the bullet , then above what height of the bird he should aim his gun to hit
Answers
⇒ Distance of a person from the bird is = 100 m
⇒ Speed of bullet = 500 m /s
TO FIND ;-
⇒ what height of the bird he should aim his gun to hit ?
SOL ;-
⇒ Initial velocity of the bullet = 500 m / s
⇒ Range = 100 × 2 = 200 m
⇒ Now we got the range.
⇒ Velocity of the bullet = 500 m / s
⇒ Distance from gun to bird in horizontal = x = 100 m
⇒ Now let us find the time taken for this distance
⇒ Time travelled = Distance / velocity
= 100 / 500
= 1 / 5 seconds
We got the time travelled by the bullet in horizontal way , Let us find it in vertical time using the time 1 / 5 sec.
⇒ y = uyt + 1/2 gt²
= 0 + 1 / 2 × 10 × 1 / 25
= 1 / 5 m ⇒ 20 cm
So the gun must be aimed at 20 cm.
Answer:
20cm
Explanation:
GIVEN ;-
Distance of a person from the bird is = 100 m
Speed of bullet = 500 m /s
TO FIND ;-
⇒ what height of the bird he should aim his gun to hit ?
SOL ;-
⇒ Initial velocity of the bullet = 500 m / s
⇒ Range = 100 × 2 = 200 m
⇒ Now we got the range.
⇒ Velocity of the bullet = 500 m / s
⇒ Distance from gun to bird in horizontal = x = 100 m
⇒ Now let us find the time taken for this distance
⇒ Time travelled = Distance / velocity
= 100 / 500
= 1 / 5 seconds
We got the time travelled by the bullet in horizontal way , Let us find it in vertical time using the time 1 / 5 sec.
⇒ y = uyt + 1/2 gt²
= 0 + 1 / 2 × 10 × 1 / 25
= 1 / 5 m ⇒ 20 cm
So the gun must be aimed at 20 cm.