A projectileis given an initial velocity of icap + 2jcap . The catesian equation of its path
Initial velocity v0= <1,2>
a(t)=<0,g>
v=∫a dt = <0,gt>+C
=>
v(t)=<1, gt+2>
x(t)=∫v dt = <t,(1/2)gt²+2t>+C
Assume x(t)=<0,0> at t=0, then C=0
x(t)=<t, 2t+(1/2)gt²)