Question

Omar kicks a ball from a level field, at an initial velocity of 29.4 m/s at an initial angle of 60 with respect to the horizontal. The ball is in its trajectory for a total time of 3 s before it hits the ground. What is the ball’s horizontal displacement, X?

Answer 1

Question #60632, Physics – Mechanics | Relativity

Omar kicks a ball from a level field, at an initial velocity of $29.4\ \mathrm{m/s}$ at an initial angle of 60 with respect to the horizontal. The ball is in its trajectory for a total time of 3 s before it hits the ground. What is the ball’s horizontal displacement, X?

Solution

The equation of the ball’s horizontal motion:

$$x = v_{0x} t;$$

where

$$v_{0x} = v_0 \cos 60{}^\circ$$

The total horizontal displacement:

$$x(3) = 29.4 \times \cos 60{}^\circ \times 3 = 44.1\ \mathrm{m}$$

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