Question

Brooke is located 5 miles out from the nearest point A along a straight shoreline in her sea kayak. Hunger strikes and she wants to make it to Kono's for lunch; see picture. Brooke can paddle 7 mph and walk 14 mp
If she paddles along a straight line course to the shore, find an expression that computes the total time to reach lunch in terms of the location where Brooke beaches her kayak (so x = distance from A to where she lands). Be sure you remember the formula that relates Distance, Rate and Time. You're being asked for Time here

Answer 1

If she paddles directly to Kono's then the minimum time for the lunch will be 3.9 hours.

What is kinematics?

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Brooke is located 5 miles out from the nearest point A along a straight shoreline in her sea kayak.

Hunger strikes and she wants to make it to Kono's for lunch; see picture.

Brooke can paddle at 7 mph and walk at 14 mph.

Distance from Brooke to shore will be

→ √(5² + x²)

Then the time will be

$t_1 = \dfrac{\sqrt{5^2 + x^2}}{2}$

Then the distance from shore to Kono's will be

→ 6 - x

Then the time will be

t₂ = (6 - x) / 4

Then the total time will be

t  = t₁ + t₂

Then we have

$t = \dfrac{\sqrt{5^2 +X^2}}{2} + \dfrac{6-x}{4}$

t = 1/4[2√(5² + x²) + 6 - x]

If she paddles directly to point A will be

t = 1/4[2√(5² + 0²) + 6 - 0]

t = 1/4 (10 + 6)

t = 16 /4

t = 4 hr

If she paddles directly to Kono's, then we have x = 6. Then the time will be

t = 1/4[2√(5² + 6²) + 6 - 6]

t = 1/4[2√61]

t = 3.9 hr

More about the kinematics link is given below.

https://brainly.com/question/25638908

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