Question

A projectile is given an initial velocity of $\widehat{i} + 2\widehat{j}$. The Cartesian equation of its path is - (g = 10 m/s²)

• A. y = 2x – 5x²
• B. y = x – 5x²
• C. 4y = 2x – 5x²
• D. y = 2x – 25x²

Answer 1

Answer: (A)

y = 2x – 5x²

Answer 2

$\vec { u } = i + 2 \hat { j }$

y = x tan q – $\frac { \mathrm { gx } ^ { 2 } } { 2 \mathrm { u } ^ { 2 } \cos ^ { 2 } \theta }$

or y = x. $\frac { u _ { y } } { u _ { x } } - \frac { g x ^ { 2 } } { 2 \cdot u _ { x } ^ { 2 } }$

or y = x $\left( \frac { 2 } { 1 } \right) - \frac { \mathrm { gx } ^ { 2 } } { 2 . ( 1 ) ^ { 2 } }$ \ y = 2x – 5x²