A ball is dropped from a building, after 2 sec another ball is thrown downward. After 6 sec the second ball overtook the first ball. Is the second ball has greater acceleration than the first ball? Explain.
No second ball has the same acceleration (acceleration of Earths gravity) but it (ball) has initial velocity. It is calculable knowing that in moment of overtaking both balls had the same traveled distance.
g*t^2/2= V*t + g(t-2)^2/2
(t-2) is because the second ball began traveling 2 second after the first
9.81*6^2/2 =v*4 + 9.81*4^2/2
v=24.525m/s (initial velocity of second ball was 24.525m/s)
To determine whether the second ball has a greater acceleration than the first ball, we need to analyze the motion of both balls.
Let's break down the information given:
1. A ball is dropped from a building: This means the first ball is in free fall, which is characterized by downward acceleration due to gravity (approximately 9.8 m/s²).
2. After 2 seconds, another ball is thrown downward: This means the second ball is initially thrown downward with a certain initial velocity.
After analyzing the information, we can deduce that the second ball has an advantage because it starts with an initial velocity while the first ball starts from rest (zero initial velocity).
Now, let's explain why the second ball overtakes the first ball in 6 seconds:
1. The first ball falls freely under gravity. After 6 seconds, it would have fallen a distance of (1/2) * (9.8 m/s²) * (6 sec)² = 176.4 meters.
2. The second ball, after being thrown downward, initially moves faster due to the additional initial velocity. Therefore, it will cover a greater distance than the first ball in the same amount of time. Let's assume the initial velocity allows the second ball to cover a distance of D meters in 6 seconds.
Since we know that the second ball overtakes the first ball after 6 seconds, it means the second ball has covered a distance greater than 176.4 meters (the distance covered by the first ball). Therefore, D > 176.4 meters.
From this analysis, we can conclude that the second ball has a greater acceleration than the first ball because it covers a greater distance in the same time period. The additional initial velocity of the second ball leads to an acceleration greater than the constant acceleration due to gravity experienced by the first ball.