The equation of trajectory of a projectile is y=10 x- ( 5 9 ) x^2 . If we assume g=10 ~ms ⁻² , the range of projectile (in metre) is

Step-by-step solution

Equation of projectile is y=10 x- ( 5 9 ) x^2 Standard equation is y=x - g 2 u^2 ^2 x^2 On comparing, =10 and array rlrl & g 2 u^2 ^2 & = 9 9 & 10 u^2 ^2 & =9 ~g & & g & =10 ~m / s ^2 & & u^2 ^2 & =9 array (given) Range of projectile R= 2 u^2 g aligned & = 2 u^2 ^2 g & = 2 (u^2 ^2 ) g & = 2 9 10 10 =18 ~m aligned