# A river flows from north to south. The position at time t seconds of a rowing boat crossing the river

## Question:

A river flows from north to south. The position at time t seconds of a rowing boat crossing the river from west to east is modelled by the parametric equations x = 0.9 t m, y = −3.2 t m where x is the distance travelled east and y is the distance travelled north. Given that the river is 75 m wide,

a. Find the time taken to get to the other side

b. Find the distance the boat has been moved off-course due to the current

c. Show that the motion of the boat is a straight line

d. Determine the speed of the boat.

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**Related Book For**

## Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

**ISBN:** 9781292183404

1st Edition

**Authors:** Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

**Question Details**

Chapter #

**8**Section: exercise 8E

Problem: 1

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