For a fixed initial velocity and no air resistance, projectile range is maximized at an elevation angle of π/4 radians¶

Claim · All claims
Evidence · 1 study · causal r2 · q1
Currency · newest study 2013 · not yet checked against its sources · not reviewed by a person · overdue for a recheck since 2018: baselines and conditions change

Subclaims¶

q1 i? Analytically, with initial speed v0 held steady, the launch angle giving the highest range value is π/4 radians, as shown by the derived range formula and plotted trajectories. → Hutem and Kerdmee 2013

Evidence¶

Hutem and Kerdmee 2013¶

Artit Hutem, Supoj Kerdmee. (2013). Physics Learning Achievement Study: Projectile, using Mathematica program of Faculty of Science and Technology Phetchabun Rajabhat University Students. European J of Physics Education, Vol.4 Issue 3. https://eric.ed.gov/?id=EJ1052425

q1 · i? · causal · r2

Analytical derivation from the range formula R = (v0²/g) sin 2θ (equation 11), illustrated by numerical Mathematica evaluations plotted in Figs. 6-8 for a fixed initial velocity with air resistance ignored.

"It indicates that 0v is steady value, 0θ angle that the highest range value is 4 .radπ"

Discussion¶

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