Question

A projectile is fired in such a way that its horizontal range is equal to?

1) The maximum height reached by the projectile
2) The time of flight of the projectile
3) The initial velocity of the projectile
4) The angle of projection of the projectile

Answer 1

The horizontal range of a projectile is equal to the maximum height reached by the projectile.The correct answer is a) The maximum height reached by the projectile does not equal the horizontal range of a projectile.

Step-by-step explanation:

The correct answer is a) The maximum height reached by the projectile does not equal the horizontal range of a projectile.

The horizontal range (R) of a projectile is the distance it travels horizontally when it is fired at a certain angle of projection. It is given by the formula:

R = (v^2 * sin(2θ)) / g

where v is the initial velocity, g is the acceleration due to gravity, and θ is the angle of projection.

The maximum height reached by the projectile (h) is given by:

h = (v^2 * sin^2(θ)) / (2 * g)

The time of flight (t) is the time it takes for the projectile to reach the ground after being fired. It is given by:

t = (2 * h)^(1/2) / v * sin(θ)

The angle of projection (θ) is the angle between the initial velocity vector and the horizontal plane. It can take any value between 0 and 90 degrees.

In summary, while all three factors (horizontal range, maximum height, and time of flight) are important in understanding the behavior of projectiles, they are not all equal to each other.