MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Pursuit Curve Missile Spiral Problem

2175ExpertCalculusDifferential Equations

5th ASU

A spy-plane circles point $A$ at a distance $10\mathrm{km}$ with speed $1000\mathrm{km/h}$. A missile is fired towards the plane from $A$ at the same speed and moves so that it is always on the line between $A$ and the plane. How long does it take to hit?
0 students attempted0% solvedRating 2175

Related practice paths

Olympiad-Style PracticeDeep contest practice for proof-style problem solving.How to Qualify for AIMEScore goals, contest choice, and prep habits for AIME hopefuls.How to Review Missed AMC ProblemsTurn missed problems into a repeatable improvement loop.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions1

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.