numerical

Projectile motion
Class 11, Motion in a plane, NEET, Projectile Motion

A projectile is thrown at angles θ and (90 − θ) with the horizontal with the same speed of 20 ms⁻¹ from the same point of projection. If difference between the individual heights attained by them is 5 m, then the individual heights are, respectively, (g = 10 ms⁻²)

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student skates
2020, Advanced, Class 11, Conservation of energy, JEE, Work, Energy, and Power

A student skates up a ramp that makes an angle of 30° with the horizontal. He/she starts (as shown in the figure) at the bottom of the ramp with speed v₀ and wants to turn around over a semicircular path xyz of radius R, during which he/she reaches a maximum height h (at point y) from the ground, as shown in the figure. Assume that the energy loss is negligible and the force required for this turn at the highest point is provided by his/her weight only. Then (g is the acceleration due to gravity)

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