Question

A dog runs at 2.3m/s horizontally and is unable to stop before it falls off of the stairs 3 seconds later. How high from the ground is the stairs?

Answer 1

Answer on Question #52858 - Physics - Mechanics | Kinematics | Dynamics

Question

A dog runs at $2.3\,\mathrm{m/s}$ horizontally and is unable to stop before it falls off of the stairs 3 seconds later. How high from the ground is the stairs?

Answer

$$v_{0x} = 2.3\,\frac{m}{s}; \; v_{0y} = 0; \; t_f = 3\,\mathrm{s}; \; a_y = g = 9.8\,\frac{\mathrm{m}}{\mathrm{s}^2}; \; a_x = 0; \; x_0 = 0.$$

The equation of motion in horizontal direction:

$$x = v_{0x} t_f$$

The equation of motion in vertical direction:

$$y = 0 = h - \frac{g t_f^2}{2} \rightarrow \boldsymbol{h} = \frac{g t_f^2}{2} = \mathbf{44.1}\,\boldsymbol{m}$$

P.S. Probably this question contains mistakes (in condition), or there is not all question.

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