Answer:
[tex]v(t)=(-32t)j+8i[/tex]
Explanation:
We are given that
Height=[tex]S_0=87j[/tex]
Initial speed=[tex]v_0=8i[/tex]ft/s
We have to find the speed at which the car hits the water.
Acceleration=[tex]a(t)=-32 jm/s^2[/tex]
We know that
Acceleration,[tex]a=\frac{dv}{dt}[/tex]
[tex]dv=a(t)dt[/tex]=-32jdt
[tex]\int dv=-32j\int dt[/tex]
[tex]v=(-32t)j+C[/tex]
Substitute t=0 and [tex]v_0=8i[/tex]
[tex]8i=C[/tex]
Substitute the value of C
[tex]v(t)=(-32t)j+8i[/tex]
