A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=−16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth.

Answer 1

Assuming that v₀ represents the initial velocity, then v₀ = 96 ft/s. Substitute this value into h(t) and set the equation equal to 48. Then, write this quadratic equation in standard form, which is ax² + bx+ c = 0, where a, b, and c are constants. Either use factoring or the Quadratic Function to solve the equation for t. Remember that t must be positive, because it represents a unit of time.