v = w - 20
move -20 to the other side
sign changes from -20 to +20
to get w by itself
v+20= w-20+20
Answer:
w= v+20 or w= 20+v
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
The percent is: 101%
Fraction: 11/100
The car would travel 247.95 miles in 4 hours and 45 minutes
