Velocity and position of the boat

[Yovanna]

Homework Statement

A boat leaves the dock at t=0 s and heads out into the lake with an acceleration of 2m/s^2i.A strong wind pushing the boat, giving it additional velocityof 2m/si+ 1m/sj.
(a) What is the velocity of the boat at t=10s?
(b) What is the position of the boat at t=10?

Homework Equations

v=vo+at
x=x0+vx0t+0.5at^2
y=y0+vy0t+0.5at^2

The Attempt at a Solution

v0=√(2^2+1^2)= 2.2m/s
v=2.2m/s+20m/s= 22.2m/s
x=0+20m+100m=120m
y=0+10m+100m=110m

 

[gneill]

Hi Yovanna,

Homework Statement

A boat leaves the dock at t=0 s and heads out into the lake with an acceleration of 2m/s^2i.A strong wind pushing the boat, giving it additional velocityof 2m/si+ 1m/sj.
(a) What is the velocity of the boat at t=10s?
(b) What is the position of the boat at t=10?

Homework Equations

v=vo+at
x=x0+vx0t+0.5at^2
y=y0+vy0t+0.5at^2

The Attempt at a Solution

v0=√(2^2+1^2)= 2.2m/s
v=2.2m/s+20m/s= 22.2m/s
x=0+20m+100m=120m
y=0+10m+100m=110m

Note that in (a) they ask for the velocity, not the speed. So you'll want to keep all the vector components separated and give your result as a vector.

In (b), when you calculated the y-position component, where did the 100 m term come from?

 

[Yovanna]

Hi Yovanna,Note that in (a) they ask for the velocity, not the speed. So you'll want to keep all the vector components separated and give your result as a vector.

In (b), when you calculated the y-position component, where did the 100 m term come from?

ohh right! Thank you so much!