The initial velocity of the child is 2.41 m/s
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"A 20-kg child slides down a playground slide with a constant acceleration of a = 2.4 m/s2 parallel to the surface of the slide. The child starts sliding with an initial speed of v0. Refer to the figure. (check the image uploaded)
If the slide is 4.0 m long and the child's final speed is vf = 5.0 m/s, what is their initial speed, in meters per second?"
The given parameters:
mass of the child, m = 20 kg
acceleration of the child, a = 2.4 m/s²
the final velocity of the child, vf = 5 m/s
distance traveled by the child, s = 4 m
To find:
- the initial velocity of the child,
The initial velocity of the child is calculated as follows;
[tex]v_f^2 = v_o ^2 + 2as\\\\v_o^2 = v_f^2 - 2as\\\\v_0^2 = (5^2) - 2(2.4 \times 4)\\\\v_0^2 = 5.8\\\\v_0 = \sqrt{5.8} \\\\v_0 = 2.41 \ m/s[/tex]
Thus, the initial velocity of the child is 2.41 m/s
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