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Gravitational Acceleration

# Gravitational Acceleration - Gravitational Acceleration A...

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Gravitational Acceleration A special case of constant acceleration is free fall (falling in vacuum). In problems of free fall, the direction of free fall is defined along the y-axis, and the positive position along the y-axis corresponds to upward motion. The acceleration due to gravity (g) equals 9.8 m/s 2 (along the negative y-axis). The equations of motion for free fall are very similar to those discussed previously for constant acceleration: where y 0 and v 0 are the position and the velocity of the object at time t = 0. Example A pitcher tosses a baseball straight up, with an initial speed of 25 m/s. (a) How long does it take to reach its highest point ? (b) How high does the ball rise above its release point ? (c) How long will it take for the ball to reach a point 25 m above its release point. Figure 2.4. Vertical position of baseball as function of time. a) Our starting points are the equations of motion: The initial conditions are: * v(t = 0) = v 0 = 25 m/s (upwards movement) * y(t = 0) = y 0 = 0 m (Note: origin defined as position of ball at t = 0)

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Gravitational Acceleration - Gravitational Acceleration A...

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