To find the initial velocity of a projectile launched with only the maximum range given, we can use the range equation. The range is the horizontal distance covered by the projectile.
The range equation is:
Range = (v0^2 * sin(2θ)) / g
Where:
- Range is the maximum range of the projectile.
- v0 is the initial velocity of the projectile.
- θ is the launch angle.
- g is the acceleration due to gravity.
We can rearrange the equation to solve for v0:
v0 = √((Range * g) / sin(2θ))
Without knowing the specific value of g, we cannot determine the exact initial velocity. However, if you have access to the standard acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth's surface, you can substitute that value into the equation to find an approximation for the initial velocity.