When a projectile is launched at an angle 9 relative to the vertical, its horizontal range reaches its maximum value at what angle 9__________________?
Show answer Hide answer
Answer: C. 45°
Explanation
The maximum horizontal range of a projectile in standard physics is achieved at a launch angle of 45 degrees relative to the horizontal. Mathematical derivation of the projectile range formula yields a sine function maximized when the angle is 45 degrees. This optimal angle balances vertical hang time with horizontal velocity components under uniform gravity. Projectile motion combines constant horizontal velocity with vertically accelerated gravitational motion. Air resistance is typically neglected in basic physics trajectory equations to simplify analytical calculations. Range equations depend strictly on initial launch velocity magnitude and the angle of projection.
A launch angle of 0 degrees results in zero horizontal range because the projectile hits the ground immediately. A 30-degree launch angle yields a shorter horizontal range than the optimal 45-degree trajectory. A 60-degree launch angle achieves the same range as 30 degrees, but fails to reach the maximum possible distance.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. How does a bar's deformation under its own weight compare to that caused by an equivalent external direct load_______________?
Show answer Hide answer
Answer: C. half
Deformation of a bar under its own weight equals half that of an equivalent end load. Distributed self-weight creates a varying tensile stress profile along the length of the bar. Integrating this distributed weight resu...
Q2. What is the allowable safe twisting moment for a composite shaft equivalent to_________________?
Show answer Hide answer
Answer: B. minimum calculated value
In composite shafts, the allowable safe twisting moment is governed by the weakest component, which corresponds to the minimum calculated value among the sections. Exceeding this lowest safe torque limit would cause the...
Q3. Within the elastic region, what is the ratio of transverse strain to axial strain called_______________?
Show answer Hide answer
Answer: E. Poisson’s ratio
Poisson ratio is defined as the negative ratio of transverse strain to axial strain within the elastic range. It quantifies the lateral thinning or thickening experienced by a stretched or compressed rod. This dimensionl...
Q4. How does the strain energy stored under a sudden load compare to that of a gradually applied load____________________?
Show answer Hide answer
Answer: C. four times
A suddenly applied load produces twice the maximum stress and four times strain energy. Impact loading causes dynamic stress waves that temporarily double static stress levels. Strain energy is proportional to the square...
Q5. What stress level is reached at the point of tensile fracture__________?
Show answer Hide answer
Answer: A. Breaking stress
Breaking stress is the nominal stress recorded at the exact moment of rupture or tensile fracture of the test specimen. This value represents the final force reading divided by the original cross-sectional area right whe...
Q6. What approximate percentage area reduction occurs in a cast iron test specimen during tension testing_________________?
Show answer Hide answer
Answer: E. negligible
Cast iron is a brittle material that exhibits negligible plastic deformation during tension testing. Graphite flakes in its microstructure act as internal stress concentrators, causing sudden brittle fracture. Because it...