簡約 (1/2)(9.8ms^2)(2.85s)^2

解

簡約

(\frac{1}{2}) \cdot (9.8 m s^{2}) \cdot (2.85 s)^{2}

\frac{159201 m s ^{4}}{4000}

解答ステップ

(\frac{1}{2}) (9.8 m s^{2}) (2.85 s)^{2}

規則を適用する:

(a) = a

(\frac{1}{2}) = \frac{1}{2}

= \frac{1}{2} \cdot 9.8 m s^{2} (2.85 s)^{2}

簡素化

(2.85 s)^{2} : 8.1225 s^{2}

= \frac{1}{2} \cdot 9.8 m s^{2} \cdot 8.1225 s^{2}

数を乗じる:

9.8 \cdot 8.1225 = 79.6005

= \frac{1}{2} \cdot 79.6005 m s^{2} s^{2}

簡素化

s^{2} s^{2} : s^{4}

= \frac{1}{2} \cdot 79.6005 m s^{4}

79.6005 = \frac{159201}{2000}

= \frac{1}{2} \cdot \frac{159201}{2000} m s^{4}

分数の規則を適用する:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 159201 m s ^{4}}{2 \cdot 2000}

数を乗じる:

1 \cdot 159201 = 159201

= \frac{159201 m s ^{4}}{2 \cdot 2000}

数を乗じる:

2 \cdot 2000 = 4000

= \frac{159201 m s ^{4}}{4000}