A boat heads in the direction N 72^∘E. The speed of the boat relative to the water is 24 mi / h.

(a) We first need to find the velocity of the boat relative to the water. This can be done by mu

Question

A boat heads in the direction $N 72^{\circ} \mathrm{E}$. The speed of the boat relative to the water is $24 \mathrm{mi} / \mathrm{h}$. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (a) Express the velocity of the boat relative to the water as a vector in component form. (b) Find the speed of the water and the true speed of the boat.

          A boat heads in the direction $N 72^{\circ} \mathrm{E}$. The speed of the boat relative to the water is $24 \mathrm{mi} / \mathrm{h}$. The water is flowing directly south. It is observed that the true direction of the boat is directly east.
(a) Express the velocity of the boat relative to the water as
a vector in component form.
(b) Find the speed of the water and the true speed of the boat.

Added by Ruben R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Penny Riley

12/29/2022

Step 1

This can be done by multiplying the speed of the boat (24 mi/h) by the direction in which the boat is heading (72 degrees), which gives us a vector in component form: \mathbf{V} = \mathbf{24} \mathrm{mi} / \mathrm{h} \mathbf{E} = (0, 0, 24) (b) Show more…

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A boat heads in the direction $N 72^{\circ} \mathrm{E}$. The speed of the boat relative to the water is $24 \mathrm{mi} / \mathrm{h}$. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (a) Express the velocity of the boat relative to the water as a vector in component form. (b) Find the speed of the water and the true speed of the boat.