At t = 0 on the planet "Gravitus Increasicus" , a projectile is fired with speed 6 m/s at an angle 30° above the horizontal. This planet is a strange one, in that the acceleration due to gravity incre

Question

At t = 0 on the planet "Gravitus Increasicus" , a projectile is fired with speed 6 m/s at an angle 30° above the horizontal. This planet is a strange one, in that the acceleration due to gravity increases linearly with time, starting with a value of zero when the projectile is fired. In other words, g(t) = 2t.The time of flight of the projectile is :

TestHub · Accepted Answer

u y ​ = 6 sin 3 0 ∘ = 3 , a y ​ = − 2 t ⇒ v y ​ = 3 − t 2 y = ∫ ( 3 − t 2 ) d t = 3 t − 3 t 3 ​ y = 0 ⇒ 3 t − 3 t 3 ​ = 0 ⇒ t = 3 s

Physics - Kinematics Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main 2028 (Class 11)