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
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
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.
Similar Questions
A projectile is projected at 30∘ from horizontal with initial velocity 40 ms−1. The velocity of the projectile at t=2 s from the start will be: (Given g=10 m/s2 )
A projectile is launched from the edge of a cliff with a velocity of 15.0 m/s at an angle of 30.0 degrees above the horizontal. Ignoring air resistance, what is the velocity of the projectile 2.00 seconds later?
The range of a projectile is maximum, when the angle of projection is:a.60ob.45oc.90od.30o
A projectile is launched with an initial speed of 30 m/s atan angle of 60° above the horizontal. What are the (a) magni-tude and (b) angle of its velocity 2.0 s after launch, and (c) is theangle above or below the horizontal? What are the (d) magni-tude and (e) angle of its velocity 5.0 s after launch, and (f) is theangle above or below the horizontal?
Given the same initial velocity, at what other angle should a ball be hit to reach the same distance if it is being shot at an angle of 30° and it reaches a distance of 50 m?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.