Question

A projectile is launched at 37 degrees to the horizontal with a speed of 200 m/s from position. Ignore air resistance. Calculate the horizontal velocity at the point .

Answer 1

The horizontal velocity of the projectile at the launch angle of 37 degrees can be calculated using the formula: horizontal velocity = initial velocity * cos(angle). The horizontal velocity is approximately 159.72 m/s.

Step-by-step explanation:

The horizontal velocity of a projectile can be calculated using the formula:

horizontal velocity = initial velocity * cos(angle)

Given that the initial velocity is 200 m/s and the launch angle is 37 degrees, we can substitute these values into the formula:

horizontal velocity = 200 m/s * cos(37°)

Using a scientific calculator, we find that the cosine of 37 degrees is approximately 0.7986. Multiplying the initial velocity by the cosine, we get:

horizontal velocity = 200 m/s * 0.7986

horizontal velocity ≈ 159.72 m/s