Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following func
tions, h(t) represents the height of the ball above the ground, in feet, with respect to time, t, in seconds, after the ball was thrown. Which of the following functions models the amount of time the ball is in the air? h(t)= -4(t-1)^2 +3 h(t)= -16(t-1)^2 -4 h(t)= -16(t-1)^2 +12 h(t)= -16(t-1)^2 +28
The base function you need to know is h(t)= 1/2at^2
Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12
This system has no solution. x = -7y + 24 can be rewritten as x = 24 - 7y to simplify x + 7y = 32, we have to subtract 7y from both sides x = 32 - 7y Now, our system is as follows: x = 24 - 7y x = 32 - 7y
