A carpenter tosses a shingle horizontally off a roof a height h above the ground

Question

A carpenter tosses a shingle horizontally off a roof a height h above the ground at an initial velocity u. You may assume that the acceleration due to gravity is equal to 9.8 m/s^2. Draw a vertical position vs. horizontal position (y vs. x) plot. Label the known quantities in the plot. How long does it take to reach the ground? How far does the shingle move horizontally? Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the ledge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Compare the time it takes each of them to reach the lake below. Alice reached the surface of the lake first. Tom reached the surface of the lake first. Alice and Tom will reach the surface of the lake at the same time. We cannot determine who will reach the lake first, there is not enough information. V_x = v_0x + a_x t v_y = v_0y + a_y t x = x_0 + v_x0 t + 1/2a_xt^2 y = y_0 + v_y0t + 1/2a_yt^2

Explanation / Answer

2. The tom simply drop straight down.

The alice drop the curve down.

speed = travlling/time taken

time = travlling/speed

Alice and Tom will reach the surface of the lake at the same time.

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