Question 434419
{{{ s(t) = -16t^2 + v[0]*t + s[0] }}}
{{{ s[1] = 79 }}}
{{{ 79 = -16*(1)^2 + v[0]*1 + s[0] }}}
{{{ v[0] + s[0] = 79 + 16 }}}
(1) {{{ v[0] + s[0] = 95 }}}
and
{{{ s(4) = 64 }}}
{{{ 64 = -16*(4)^2 + v[0]*4 + s[0] }}}
{{{ 4v[0] + s[0] = 64 + 256 }}}
(2) {{{ 4v[0] + s[0] = 320 }}}
Subtract (1) from (2)
(2) {{{ 4v[0] + s[0] = 320 }}}
(1) {{{ -v[0] - s[0] = -95 }}}
{{{ 3v[0] = 225 }}}
{{{ v[0] = 75 }}}
and
(1) {{{ 75 + s[0] = 95 }}}
{{{ s[0] = 20 }}}
check answers
{{{ 64 = -16*(4)^2 + v[0]*4 + s[0] }}}
{{{ 64 = -16*(4)^2 + 75*4 + 20 }}}
{{{ 64 = -256 + 300 + 20 }}}
{{{ 64 = 44 + 20 }}}
{{{ 64 = 64 }}}
OK