A miniature car moves in a straight line starting at pont (2,0). After t seconds, its position (x,y) is given by the vector equation (x,y)=(2,0) + t(0.7,1). Another miniature vehicle, a motorcycle starts at point (0,2) and travels in a straght line with constant speed. The equation of its path is y=0.6x + 2 , x>=0. Eventually the two miniature vehicles collide. Find the coordinates of the collision point.
- print Print
- list Cite
Expert Answers
Luca B.
| Certified Educator
calendarEducator since 2011
write5,348 answers
starTop subjects are Math, Science, and Business
You need to find the equation of the miniature car, hence you should use the slope intercept form to find the equation `y=mx+n` such that:
`y= 1/0.7*x + n`
Substituting 2 for x and 0 for y in equation `y = 1/0.7*x + n` yields:
`0= 2/0.7...
(The entire section contains 116 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- `x=t^3-6t , y=t^2` Find the equations of the tangent lines at the point where the curve...
- 1 Educator Answer
- Find an equation of the tangent line to the given curve at the specified point.y=...
- 4 Educator Answers
- `x=t^2-t , y=t^3-3t-1` Find the equations of the tangent lines at the point where the curve...
- 1 Educator Answer
- A line has parametric equations of x = 3 - t, y = -2 - 4t. Determine the Cartesian equation for...
- 2 Educator Answers
- Find the equation of both lines that pass through the point (2, -3) and are tangent to the...
- 3 Educator Answers