Question

If you drop an object from a height of 0.8 m, it will hit the ground in 0.40 s. If you throw a baseball horizontally with an initial speed of 17 m/s from the same height, how long will it take the ball to hit the ground?

Answer suppose to be in seconds

Answer 1

The time it takes for an object to hit the ground depends on its vertical velocity, which is determined by the force of gravity. In this scenario, the vertical velocity of the baseball is determined by its initial vertical velocity (0 m/s) and the acceleration due to gravity (-9.8 m/s^2). The vertical displacement of the baseball can be found using the equation:

d = v_0t + 0.5at^2

where d is the vertical displacement (0.8 m), v_0 is the initial vertical velocity (0 m/s), t is the time, and a is the acceleration due to gravity (-9.8 m/s^2).

Rearranging the equation and solving for t:

t = √(2d/a)

t = √(2 * 0.8 / -9.8)

t = 0.44 seconds

So it takes the baseball 0.44 seconds to hit the ground.