The height of the building at 225 South Sixth in Minneapolis is 776 ft. Ignoring air resistance,

step 1 This question tells us that there's a building that has a height of 2 ,717 feet, and we can meas

The height of the building at 225 South Sixth in Minneapolis...

The height of the building at 225 South Sixth in Minneapolis is $776 \mathrm{ft}$. Ignoring air resistance, use the formula $d=\left(\frac{16 \mathrm{ft}}{1 \mathrm{~s}^{2}}\right) t^{2}$ to find the time for an object to fall this distance. Round to the nearest hundredth. (Source: www.emporis.com)

Key Concepts

Kinematic Equations

Kinematic equations are formulas used to describe the motion of objects under constant acceleration. They relate displacement, initial velocity, time, and acceleration. In free fall problems, a common form used is d = (1/2) a t^2, where solving for time typically involves algebraic manipulation and the use of square roots.

Algebraic Manipulation to Solve for Time

This involves isolating the variable associated with time in the kinematic equations. When the equation is in the form d = (1/2) a t^2, solving for time requires dividing both sides by (1/2) a and then taking the square root, which is a fundamental algebraic technique necessary for finding time in free-fall problems.

Uniformly Accelerated Motion

This concept describes the motion of an object when it is acted upon by a constant acceleration. In problems of free fall, the acceleration due to gravity is constant, which allows the use of specific kinematic equations that relate displacement, time, and acceleration.

Gravitational Acceleration in Free Fall

Gravitational acceleration is the rate at which an object accelerates when falling solely under the influence of gravity. In many practical calculations, especially in the imperial system, this is expressed as a particular constant which, when combined with the kinematic equations, determines how an object’s velocity increases over time during free fall.

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