Question

2. A barrel floats down a river past two flags that are 100 meters apart. The time it took for the barrel to pass each flag is shown. What is the speed of the stream's
current?
2:15
2:43
O A 0.28 m/s
OB.2.2 m/s
OC.2.4 m/s
OD.3.6 m/s

Answer 1

The speed of the stream's current is 3.6 m/s.

The given parameters:

• distance between the two flags, d = 100 m
• time when it passed the first flag, t₁ = 2:15
• time when it passed the second flag, t₂ = 2:43

What is speed?

• The speed of an object describes the rate of change of an object's distance.

The change in the time of motion of the barrel is calculated as follows;

Δt = t₂ - t₁

Δt = 2:43 - 2:15

Δt = 2 min 43 s - 2 min 15 s

Δt = 43 s - 15 s

Δt = 28 s

The speed of the stream's current is calculated as follows;

$v = \frac{d}{t} \\\\v = \frac{100 \ m}{28 \ s}\\\\v = 3.57 \ m/s\\\\v \approx 3.6 \ m/s$

Thus, the speed of the stream's current is 3.6 m/s.

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