Respuesta :
Valid Expressions are; t = ā(d²/va), a = d/t², a = ā(vd/t³), v = at
while the Invalid expressions are; Ā v = a/t and Ā d = at
Explanation:
Given expressions
1) v = a/t
2) t = ā(d²/va)
3) d = at
4) a = d/t²
5) a = ā(vd/t³)
6) v = at
First we get our units of parameters
V = m/s, t = sec, d = m, a = m/s²
so
1)
v = a/t
we substitute in our units of parameters
v = m/s² / s = m/s² à 1/s = m/s³
v ā m/s³
therefore it is false
2)
t = ā(d²/va)
we substitute
t = ā(m² / m/s Ć m/s²)
t = ā(m² / m²/s³)
t = ā(s³)
t = s
correct, the expression is true
3)
d = at
we substitute
d = m/s² à s
d = m/s² à s/1 =  ms/s² = m/s
d ā m/s (because d = m)
so expression is false
4)
a = d/t²
we substitute
a = m / s² = m/s²
correct
the expression is true
5)
a = ā(vd/t³)
we substitute
a = ā(m/sĆm / s³) = ā(m²/s / s³) = ā(m²/s Ć 1/s³) Ā = ā(m²/sā“) = m/s²
so a = m/s²
correct
the expression is true
6)
v = at
we substitute in the units
v = m/s² Ć s = m/s² Ćs/1 = ms/s² = m/s
v = m/s
correct
the expression is correctValid Expressions are; t = ā(d²/va), a = d/t², a = ā(vd/t³), v = at
while the Invalid expressions are; Ā v = a/t and Ā d = at
Explanation:
Given expressions
1) v = a/t
2) t = ā(d²/va)
3) d = at
4) a = d/t²
5) a = ā(vd/t³)
6) v = at
First we get our units of parameters
V = m/s, t = sec, d = m, a = m/s²
so
1)
v = a/t
we substitute in our units of parameters
v = m/s² / s = m/s² à 1/s = m/s³
v ā m/s³
therefore it is false
2)
t = ā(d²/va)
we substitute
t = ā(m² / m/s Ć m/s²)
t = ā(m² / m²/s³)
t = ā(s³)
t = s
correct, the expression is true
3)
d = at
we substitute
d = m/s² à s
d = m/s² à s/1 =  ms/s² = m/s
d ā m/s (because d = m)
so expression is false
4)
a = d/t²
we substitute
a = m / s² = m/s²
correct
the expression is true
5)
a = ā(vd/t³)
we substitute
a = ā(m/sĆm / s³) = ā(m²/s / s³) = ā(m²/s Ć 1/s³) Ā = ā(m²/sā“) = m/s²
so a = m/s²
correct
the expression is true
6)
v = at
we substitute in the units
v = m/s² Ć s = m/s² Ćs/1 = ms/s² = m/s
v = m/s
correct
the expression is correct