At time t=0, apple 1 is dropped from a bridge onto a roadway...

At time $t=0,$ apple 1 is dropped from a bridge onto a roadway bencath the bridgc; somcwhat later, apple 2 is thrown down from the same height. Figure $2-33$ gives the vertical positions $y$ of the apples versus $t$ during the falling, until both apples have hit the roadway. The scaling is set by $t_{s}=2.0 \mathrm{~s}$. With approximately what speed is apple 2 thrown down?

Key Concepts

Constant Acceleration

Constant acceleration means that the acceleration acting on an object does not change over time. In free fall problems, the acceleration due to gravity is constant, making it possible to predict the motion of falling objects using mathematical equations.

Graphical Analysis

Graphical analysis involves interpreting motion graphs like displacement versus time plots. These graphs can be used to visually assess an object's motion, such as determining velocity from the slope of the displacement curve and identifying the impact of initial conditions on the motion.

Kinematic Equations

Kinematic equations are the mathematical formulas that relate an object's displacement, initial velocity, time, and acceleration. These equations are essential tools in solving problems involving motion under constant acceleration, such as free fall.

Projectile Motion

Projectile motion involves analyzing the movement of objects under the influence of gravity only. In the vertical direction, such motion is characterized by a constant acceleration due to gravity, allowing for the use of kinematic equations to determine displacement, velocity, and time relationships.

Initial Velocity

Initial velocity is the speed at which an object begins its motion. In problems involving thrown or projected objects, knowing the initial velocity is crucial for determining the subsequent behavior of the object under the influence of gravity.

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