can someone please take me step by step on this problem
a swimers speed in still water is 1.35m/s
if the current speed is 0.60m/s and the river is 106.68 meters wide. how long will it take to cross the river
That depends upon the direction that he swims. If he allows himself to drift downstream, he can cross the river sooner. The question is insufficiently specific.
88s
To solve this problem, we need to use the concept of relative velocity. Here are the step-by-step instructions on how to solve it:
Step 1: Identify the given information:
- Swimmer's speed in still water: 1.35 m/s
- Current speed: 0.60 m/s
- River width: 106.68 meters
Step 2: Determine the effective speed of the swimmer:
The effective speed of the swimmer is the resultant velocity obtained by combining the swimmer's speed in still water with the current speed. It can be calculated using the formula:
Effective speed = Speed in still water + Current speed
In this case, the effective speed of the swimmer is:
Effective speed = 1.35 m/s + 0.60 m/s
Effective speed = 1.95 m/s
Step 3: Calculate the time taken to cross the river:
To calculate the time taken to cross the river, we need to use the equation:
Time = Distance / Speed
In this case, the distance the swimmer needs to cross is the width of the river. Therefore, the time taken to cross the river is:
Time = 106.68 m / 1.95 m/s
Step 4: Perform the calculation:
Using a calculator or by hand, divide the distance (106.68 m) by the effective speed (1.95 m/s) to find the time taken to cross the river.
Step 5: Round and present the answer:
Round the calculated time to an appropriate number of significant figures, if necessary, and present it as the final answer.
That's how you step-by-step solve the problem to find how long it will take to cross the river.