A person sitting in the ground floor of a building notices through the window, of height 1 . 5   m , a ball dropped from the roof of the building crosses the window in 0 . 1   s . What is the velocity of the ball when it is at the

Question

A person sitting in the ground floor of a building notices through the window, of height 1 . 5 &#160; m , a ball dropped from the roof of the building crosses the window in 0 . 1 &#160; s . What is the velocity of the ball when it is at the topmost point of the window? g = 10 &#160; m &#160; s - 2

Quantrex Academy · Accepted Answer

Correct answer: B. 14 . 5 &#160; m &#160; s - 1

First, recall the second equation of motion of kinematics, in terms of initial speed, time, and uniform acceleration, s = u t + 1 2 a t 2 . Now make a diagram related to motion of the particle, then put the values in second equation of motion, &#8658; 1 . 5 = u ( 0 . 1 ) + 1 2 ( 10 ) ( 0 . 1 ) ( 0 . 1 ) &#8658; 15 = u + 0 . 5 &#8658; u = 14 . 5 &#160; m &#160; s - 1 .

A person sitting in the ground floor of a building notices through the window, of height 1 . 5   m , a ball dropped from the roof of the building crosses the window in 0 . 1   s . What is the velocity of the ball when it is at the topmost point of the window? g = 10   m   s - 2

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More from Motion in Two Dimensions

A person sitting in the ground floor of a building notices through the window, of height 1 . 5 &#160; m , a ball dropped from the roof of the building crosses the window in 0 . 1 &#160; s . What is the velocity of the ball when it is at the topmost point of the window? g = 10 &#160; m &#160; s - 2

Options

Correct answer

Step-by-step solution

More from Motion in Two Dimensions

A person sitting in the ground floor of a building notices through the window, of height 1 . 5 m , a ball dropped from the roof of the building crosses the window in 0 . 1 s . What is the velocity of the ball when it is at the topmost point of the window? g = 10 m s - 2