The coordinates in meters of the 360-kg sport plane’s center of mass relative to an earth-...

The coordinates in meters of the 360-kg sport plane’s center of mass relative to an earth-fixed reference frame during an interval of time are

x = 20t – 1.63t2,

y = 35t – 0.15t3,

and

z = –20t – 1.38t2,

where t is the time in seconds The y axis points upward. The forces exerted on the plane are its weight, the thrust vector T exerted by its engine, the lift force vector L. and the drag force vector D. At t =4 s, determine T + L + D.