Two identical spheres are released from a device at time t = 0 from the same height H, as shown above. Sphere A has no initial velocity and falls straight down. Sphere B is given an initial horizontal velocity of magnitude v0 and travels a horizontal distance D before it reaches the ground. The spheres reach the ground at the same time t f, even though sphere B has more distance to cover before landing. Air resistance is negligible.

Question

Melissa Mcdowell

Advanced Placement (AP)

10 October, 04:45

Two identical spheres are released from a device at time t = 0 from the same height H, as shown above. Sphere A has no initial velocity and falls straight down. Sphere B is given an initial horizontal velocity of magnitude v0 and travels a horizontal distance D before it reaches the ground. The spheres reach the ground at the same time t f, even though sphere B has more distance to cover before landing. Air resistance is negligible.

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Answers (1)

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Douglas Boyer · Answer 1

The spheres reach the ground at the same time (true)

Explanation:

The acceleration in the vertical direction is the same for both spheres, so the distance they cover in a given time is the same. The additional (horizontal) distance covered by sphere B is facilitated by its horizontal velocity.

True: the spheres reach the ground at the same time.