A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2. This problem can be represented using the following equation.

How much time will the ball take to reach the ground? (1/2)32t^2+16t=480

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 16 ft/s

Height = 480 ft

Acceleration due to gravity = 32 ft/s²

To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;

Where;

Substituting into the equation, we have;

Dividing all through by 16, we have;

Re-arranging the quadratic equation, we have;

We would solve the quadratic equation by factorization;

t = -6 or 5

Since we know time can't be negative, we would ignore the value of -6.

Therefore, time = 5 seconds