Chapter 3.4, Problem 183E

A projectile is fired at a height of $1.5\text{m}$ above the ground with an initial velocity of $100\text{m/sec}$ and at an angle of $30°$ above the horizontal. Use this information to answer the following questions:

183. The acceleration of an object is given by $\text{a}\left(t\right)=tj+tk$ . The velocity at $t=1\sec$ is $v\left(1\right)=5j$ and the position of the object at $t=1\sec$ is $r\left(1\right)=0i+0j+0k$ . Find the object’s position at any time.