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6 Oct 2020
If a projectile is fired with an initial velocity of v0 meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x=(v0 cos α)t, y=(v0 sin α)t−1/2gt2 where g is the acceleration due to gravity (9.8 m/s^2). If a gun is fired with α=30° and v0=500 m/s, when will the bullet hit the ground? How far from the gun will it hit the ground? What is the maximum height reached by the bullet?
If a projectile is fired with an initial velocity of v0 meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x=(v0 cos α)t, y=(v0 sin α)t−1/2gt2 where g is the acceleration due to gravity (9.8 m/s^2). If a gun is fired with α=30° and v0=500 m/s, when will the bullet hit the ground? How far from the gun will it hit the ground? What is the maximum height reached by the bullet?
Supratim PalLv10
20 Jan 2021
