Question

If Grant starts at one end of the pool and swims 3 3/4 laps before stopping, his distance traveled is _______ and his displacement is _______.

Answer 1

If Grant starts at one end of the pool and swims 3 3/4 lap...

1. The distance travelled will the length of one lap *3.75 and the distance is nothing but the total amount of length of the pool he has covered.
2. Displacement is the movement from one point to the other and so in this case the useful distance that has been covered 1/4th lap.

Answer 2

If Grant starts at one end of the pool and swims 3 3/4 laps before stopping, his distance traveled is _187.5 m_and his displacement is _12.5 m_.

• Given,
• The total length of pool is = 50 m
• 1 lap = 1 pool length = 50 m (from one end to other end of the pool)
• Grant starts at one end of the pool and swims 3 3/4 laps before stopping
• His total distance traveled = 3 3/4 * 50 m = 15/4 * 50 m = 187.5 m.
• Now, 3 3/4 laps means,
• 2 laps means Grant completed the pool from one to other end twice.
• Hence, here the displacement is zero.
• for remaining 1 3/4 laps means Grant reached the other end of the pool and while returning covered only 3/4 of the pool.
• Therefore 1/4 lap is remained to reach the first end of the pool.
• Implies that, Grant's total displacement [3 3/4 laps] = (1 - 1 + 1 -3/4) * 50 m = 1/4 * 50 m = 12.5 m