Let's look at another scenario. The vertical height of a projectile affected only by gravity near the earth's surface is modeled by a quadratic function. While the following equations do not take air resistance into account. they are. nevertheless, good METERS: After f seconds, the height of a projectile with an initial upward velocity of V, meters per second and an initial height /, meters is given by y = h(1) =-4.91 + vit + h, meters. FEET: When the initial height is measured in feet and the initial velocity is measured in feet per second, the height of the object is given by y = h(t) =-16t' + vit +h feet 3. According to the National Association of Rocketry, the current model rocket altitude record in the "F Altitude" event for Ages 14-18 division is 1430 meters. From this record-setting altitude, the rocket is motionless as it begins its free-fall descent back to the ground. Using the equation, h(t )=-4.9t+ vot+ho , find how long it will take for the rocket to hit the ground after reaching its high point. (Hint: motionless implies Vo=0 and hitting the ground implies h(t)=0