alculate the range of a projectile launched with an initial velocity of 30 m/s at an angle of 60°.Select one:a.77.9 mb.90.0 mc.45.0 md.135.0 m
Question
Calculate the range of a projectile launched with an initial velocity of 30 m/s at an angle of 60°.
Select one:
- a. 77.9 m
- b. 90.0 m
- c. 45.0 m
- d. 135.0 m
Solution
The range of a projectile can be calculated using the formula:
Range = (v²/g) * sin(2θ)
where:
- v is the initial velocity,
- g is the acceleration due to gravity, and
- θ is the launch angle.
Given:
- v = 30 m/s,
- g = 9.8 m/s² (approx), and
- θ = 60°.
We can substitute these values into the formula:
Range = (30²/9.8) * sin(2*60) = (900/9.8) * sin(120) = 91.84 * 0.866 = 79.5 m
So, the closest answer is a. 77.9 m.
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