Im sure this is very easy but just learning
V=velocity
A=acceleration
S=displacement
t=time
if V=4t+5 and S=10m when t=1s, find S when t=2s
just not sure what to do :/
1
$\displaystyle
\frac{ds}{dt}= 4t+5
$
2
$\displaystyle
ds=(4t+5)dt
$
3
$\displaystyle
\int{ds} =\int{4t+5}dt
$
4
$\displaystyle
s=\frac{4t^2}{2} + 5t +c
$
5
Now at t=1s
s= 2 + 5 +c = 10m
hence c= 3
6
Put the value of t= 2s
s= 18+3 =21m
Now tell the step(s) that you dont get or have a doubt in