A block is sliding down on an inclined plane of slope θ and at an instant t = 0 this block is given an upward momentum so that it starts moving up on the inclined surface with velocity u. The distance (S) travelled by the block before its velocity become zero, i $s______.$
(g = gravitational acceleration)

Question

A block is sliding down on an inclined plane of slope θ and at an instant t = 0 this block is given an upward momentum so that it starts moving up on the inclined surface with velocity u. The distance (S) travelled by the block before its velocity become zero, i $s______.$

(g = gravitational acceleration)

G1 Physics · Accepted Answer

While the block moves upward along the smooth incline, the component of gravitational acceleration along the plane acts downward. Therefore, a = -g sinθ. Use v² = u² + 2as. At the highest point, v = 0. Hence, 0 = u² - 2g sinθ·S. Therefore, S = u²/(2g sinθ). This expression is not present among the printed options. The supplied source therefore marks this question as Bonus, although the NTA key shown in the source lists option (4). Calculated answer: u²/(2g sinθ). Importer note: Correct Answer i…