Answer
a) $0.71$ $cm$
b) $1.02$ $cm$
c) there is a bigger effect at higher velocities
Work Step by Step
a)
$h'(v)$ = $\frac{2v}{1960}$ = $\frac{v}{980}$
$h'(v)$ = $\frac{Δh}{Δv}$
$\frac{v}{980}$ = $\frac{Δh}{Δv}$
$Δh$ = $\frac{v}{980}Δv$
at $v = 700, Δv =1$
$Δh$ = $\frac{700}{980}(1)$ = $0.71$ $cm$
b)
at $v = 1000, Δv =1$
$Δh$ = $\frac{1000}{980}(1)$ = $1.02$ $cm$
c) there is a bigger effect at higher velocities
