Question

Suppose it takes 1.4 s for the monkey to catch the coconut and the initial upward speed of the coconut is 2.9 m/s. Assume the acceleration of gravity is 9.8 m/s 2 . Determine the y coordinate of the location where the monkey catches the coconut. Answer in units of m.

Answer 1

Answer:

y-coordinate where the monkey catches the coconut is 13.664 m.

Explanation:

Given;

time taken for the monkey to catch the coconut, t = 1.4 s

initial upward speed of the coconut, Uy = 2.9 m/s

acceleration due to gravity, g = 9.8 m/s²

The y-coordinate where the monkey catches the coconut is calculated as;

$h_y = U_yt +\frac{1}{2} gt^2\\\\h_y = (2.9\times 1.4) +\frac{1}{2} (9.8)(1.4^2)\\\\h_y = 4.06 + 9.604\\\\h_y = 13.664 \ m$

Therefore, y-coordinate where the monkey catches the coconut is 13.664 m.