Question

A projectile is launched from and returns to ground level, as the figure shows. There is no air resistance. The horizontal range of the projectile is measured to be R= 167 m, and the horizontal component of the launch velocity is v0x = 22.0 m/s. Find the vertical component v0y of the projectile.

Answer 1

The vertical component v0y of the projectile can be calculated using the range and horizontal component of the launch velocity, using the equation v0y = (R * g) / v0x.

Step-by-step explanation:

The range R of a projectile on level ground launched at an angle 00 above the horizontal with initial speed v0 is given by the equation:

R = (v0x * v0y) / g

Given that R = 167 m and v0x = 22.0 m/s, we can rearrange the equation to solve for v0y.

By substituting the given values, we can find:

v0y = (R * g) / v0x

where g is the acceleration due to gravity.

Substitute the values to calculate v0y.