A bullet is fired vertically upwards from a gun held 2m above the ground, reaches its maximum height in 4 sec. Calculate the i) Magnitude of the initial velocity of the bullet. ii) Total distance the bullet travelled by the time it hits the ground. ( g = 10m/s² )
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Explanation:
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First we need to know the initial velocity of the bullet.
v(t)=v(0)−gtv(4)=0v(0)=4g
By conservation of energy, the energy reaches its apex equals the energy when the bullet leaves the gun.
12mv2=mgh12m(4g)2=mghh=8g
This is the distance above the the gun.
Total distance, will be the disance up plus the distance down plus the distance the gun is above the floor.
16g+2
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