Question

During a projectile motion if the maximum height equals the horizontal range, then the angle of projection with the horizontal is:

• A. tan^–1(1)
• B. tan^–1(2)
• C. tan^–1(3)
• D. tan^–1(4)

Answer 1

Answer: (D)

tan^–1(4)

Answer 2

Given that

H = R

i.e. $\frac { u _ { \mathrm { y } } ^ { 2 } } { 2 \mathrm {~g} } = \frac { 2 \cdot \mathrm { u } _ { \mathrm { x } } \mathrm { u } _ { \mathrm { y } } } { \mathrm { g } }$

or $\frac { u _ { y } } { u _ { x } } = 4$ or tan q = 4 or q = tan^–1 (4)