Question
A kangaroo was 858 meters east of a lake. In 26 seconds, the kangaroo hopped one-third of the way to the lake at a constant velocity. What was the kangaroo's velocity? Write your answer as a whole number. meters per second to the west
Ask by Wilson Bob. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The kangaroo's velocity was 11 meters per second to the west.
Solution
The kangaroo started 858 meters east of the lake. It covered one-third of that distance, which is 858 ÷ 3 = 286 meters, in 26 seconds. Dividing the distance by the time gives the velocity:
286 meters ÷ 26 seconds = 11 meters per second.
Since the kangaroo was hopping toward the lake (westward), the velocity is 11 meters per second to the west.
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Simplify this solution Mind Expander
To find the kangaroo's velocity, we first determine how far it hopped in one-third of the way to the lake. Since it's 858 meters east of the lake, one-third of that distance is 286 meters. The kangaroo covered this distance in 26 seconds. To find the velocity, we use the formula: velocity = distance/time. So, 286 meters divided by 26 seconds equals approximately 11 meters per second. Since the final direction is towards the lake which is west of the starting point, we state the velocity as 11 meters per second to the west. The kangaroo's velocity is 11 meters per second to the west.
