Solve using antiderivatives

1. The acceleration of a car is given by a = 6t and the velocity is 2 when t = 0, and the distance from home is 1 when t = 0. What is the distance from home as a function of time using s(0)=1?

2. A stone is thrown vertically upward from the ground with an initial velocity of 29.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity. How long it will take for the stone to reach the maximum height at v(t)=0?