# math

a boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat traveks at 4m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and how long will it take to cross?

1. 👍 0
2. 👎 0
3. 👁 152
1. current toward -y
We want to go in +x direction
steer at angle T up from x axis

components toward x
Vx = 4 cos T
components toward y
Vy = 4 sin T - 2

we want Vy = 0
so
2 = 4 sin T
sin T = 1/2
T = 30 degrees or in compass heading
30 degrees North of East = 60 degrees true

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

A boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat travels at 4 m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and

asked by Ariza on May 4, 2010
2. ### Calculus

A boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat travels at 4 m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and

asked by Abbie on May 4, 2010
3. ### physics

A river 400 m wide is flowing at a rate of 2.0 m/s. A boat is sailing at a velocity of 10 m/s with respect to the wate, in a direction perpendicular to the river. (a) Find the time taken by the boat to reach the opposite bank. (b)

asked by Md.Hayatullah on December 4, 2014
4. ### Physics

A boat travelling at 30km/hr relative to water is headed away from the bank of a river and downstream. The river is 1/2 km wide and flows at 6km/hr. The boat arrives at the opposite bank in 1.24 min. I calculated the perpendicular

asked by Anonymous on March 2, 2008
5. ### Physics

A current of a river flows steadily from west to east at 1.00 m/s. A boat in the river travels at 3.00 m/s relative to the water. The river is 20.0 m wide with parallel banks. The boat leaves the shore at point A, and point B is

asked by . on September 19, 2010
6. ### Advanced Maths (Vectors) AQA Level

A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the

asked by Jat on February 21, 2012

A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the

asked by jat on February 12, 2012
8. ### Physics

A small boat is crossing a river which flows at 10km.h. The driver of the boat keeps it heading directly (at 90) away from the bank at a speed of 24 km/h relative to the water. The river is 0.5 km wide. I calculated the speed of

asked by Anonymous on February 26, 2008
9. ### Physics

A boat travelling at 30km/h relative to water is headed away from the bank of a river and downstream. The river is 1/2 km wide and flows at 6km/h. The boat arrives at the opposite bank in 1.25min. Calculate the component of the

asked by Anonymous on March 2, 2008
10. ### Physics

A boat moving at 5 mi/h is to cross a river in which the current is flowing at 3 mi/h. In what direction should the boat head to reach a point on the other bank of the river directly opposite the starting point?

asked by J on October 7, 2015

More Similar Questions