![\text { The acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}](/tpl/images/0399/1969/70567.png)
Explanation:
Mass of the kid 23.7 kg.
![\text { The kid is accelerating down at an angle is } 47.2^{\circ} .](/tpl/images/0399/1969/1188c.png)
![^{\prime \prime} \mathrm{g}^{\prime \prime} \text { acceleration due to gravity is } 9.8 \mathrm{m} / \mathrm{s}^{2}](/tpl/images/0399/1969/dc232.png)
We need to find the acceleration of the kid,
We know that, Parallel force acted on the kid at an angle is
F = m × g × sinθ (F = ma)
m × a = m × g × sinθ
Now, substitute the given values in the above formula to find acceleration of the kid,
![23.7 \times a=23.7 \times 9.8 \times \sin 47.2^{\circ}](/tpl/images/0399/1969/34280.png)
23.7 × a = 232.26 × 0.733
23.7 × a = 170.24
![a=\frac{170.24}{23.7}](/tpl/images/0399/1969/47205.png)
![a=7.18 \mathrm{m} / \mathrm{s}^{2}](/tpl/images/0399/1969/78983.png)
![\text { Therefore, acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}](/tpl/images/0399/1969/6f20b.png)