What distance will a ball have rolled down an inclined plane in 4 seconds if it rolls 1 meter in the first 2 seconds?

What distance will a ball have rolled down an inclined plane in 4 seconds if it rolls 1 meter in the first 2 seconds?

• A. 2m
• B. 3m
• C. 4m
• D. 5m

Answer: (C)

To determine the distance a ball will travel down an inclined plane over a certain period, it is important to recognize that motion can be analyzed using concepts from physics, particularly those related to acceleration and distance over time. In this case, the ball rolls 1 meter in the first 2 seconds. Assuming the ball accelerates uniformly down the inclined plane, we can apply the kinematic equation for distance, which states that distance is equal to the initial velocity multiplied by time plus one-half the acceleration multiplied by the square of time. Since the ball starts from rest and rolls down the incline, we can assume the initial velocity is zero. Therefore, the formula simplifies to: Distance = (1/2) * acceleration * time². In the first 2 seconds, the distance is 1 meter. Using this information, we can analyze the ball's motion over the subsequent 2 seconds. If it continues to accelerate uniformly, we need to establish how far it travels in the next interval. In the next 2 seconds (from 2 seconds to 4 seconds), the distance covered can be evaluated by recognizing that the ball will cover more as it speeds up. Specifically, since it has already traveled 1 meter in the first 2 seconds,

To determine the distance a ball will travel down an inclined plane over a certain period, it is important to recognize that motion can be analyzed using concepts from physics, particularly those related to acceleration and distance over time.

In this case, the ball rolls 1 meter in the first 2 seconds. Assuming the ball accelerates uniformly down the inclined plane, we can apply the kinematic equation for distance, which states that distance is equal to the initial velocity multiplied by time plus one-half the acceleration multiplied by the square of time.

Since the ball starts from rest and rolls down the incline, we can assume the initial velocity is zero. Therefore, the formula simplifies to:

Distance = (1/2) * acceleration * time².

In the first 2 seconds, the distance is 1 meter. Using this information, we can analyze the ball's motion over the subsequent 2 seconds. If it continues to accelerate uniformly, we need to establish how far it travels in the next interval.

In the next 2 seconds (from 2 seconds to 4 seconds), the distance covered can be evaluated by recognizing that the ball will cover more as it speeds up. Specifically, since it has already traveled 1 meter in the first 2 seconds,