diff --git a/__tests__/lib/insights/velocity.test.ts b/__tests__/lib/insights/velocity.test.ts
new file mode 100644
index 0000000..535c1fa
--- /dev/null
+++ b/__tests__/lib/insights/velocity.test.ts
@@ -0,0 +1,77 @@
+import { describe, it, expect, vi } from 'vitest'
+
+const { mockFindMany } = vi.hoisted(() => ({ mockFindMany: vi.fn() }))
+
+vi.mock('@/lib/prisma', () => ({
+  prisma: {
+    sprint: { findMany: mockFindMany },
+  },
+}))
+
+vi.mock('@/lib/product-access', () => ({
+  productAccessFilter: () => ({ some: 'filter' }),
+}))
+
+import { getVelocity } from '@/lib/insights/velocity'
+
+const completedAt = (iso: string) => new Date(iso)
+
+function makeSprint(id: string, goal: string, productId: string, productName: string, doneCounts: number, completedIso: string) {
+  const tasks = Array.from({ length: doneCounts }, () => ({ status: 'DONE' }))
+  return {
+    id,
+    sprint_goal: goal,
+    completed_at: completedAt(completedIso),
+    product: { id: productId, name: productName },
+    tasks,
+  }
+}
+
+describe('getVelocity', () => {
+  it('returns 3 sprints in chronological order with correct done counts', async () => {
+    // DB returns newest-first (orderBy: completed_at desc), getVelocity reverses to oldest-first
+    mockFindMany.mockResolvedValue([
+      makeSprint('s3', 'Sprint C', 'p1', 'Prod A', 3, '2024-03-01T00:00:00.000Z'),
+      makeSprint('s2', 'Sprint B', 'p1', 'Prod A', 5, '2024-02-01T00:00:00.000Z'),
+      makeSprint('s1', 'Sprint A', 'p1', 'Prod A', 2, '2024-01-01T00:00:00.000Z'),
+    ])
+
+    const result = await getVelocity('user-1')
+
+    expect(result.sprints).toHaveLength(3)
+    expect(result.sprints.map(s => s.doneCount)).toEqual([2, 5, 3])
+    expect(result.sprints.map(s => s.sprintId)).toEqual(['s1', 's2', 's3'])
+  })
+
+  it('deduplicates productNames from sprints', async () => {
+    mockFindMany.mockResolvedValue([
+      makeSprint('s2', 'Sprint B', 'p2', 'Prod B', 1, '2024-02-01T00:00:00.000Z'),
+      makeSprint('s1', 'Sprint A', 'p1', 'Prod A', 2, '2024-01-01T00:00:00.000Z'),
+    ])
+
+    const result = await getVelocity('user-1')
+
+    const ids = result.productNames.map(p => p.id)
+    expect(new Set(ids).size).toBe(ids.length)
+    expect(result.productNames).toHaveLength(2)
+  })
+
+  it('returns empty sprints and productNames when no completed sprints exist', async () => {
+    mockFindMany.mockResolvedValue([])
+
+    const result = await getVelocity('user-1')
+
+    expect(result.sprints).toEqual([])
+    expect(result.productNames).toEqual([])
+  })
+
+  it('passes sprintsBack as take parameter', async () => {
+    mockFindMany.mockResolvedValue([])
+
+    await getVelocity('user-1', 3)
+
+    expect(mockFindMany).toHaveBeenCalledWith(
+      expect.objectContaining({ take: 3 }),
+    )
+  })
+})
diff --git a/lib/insights/velocity.ts b/lib/insights/velocity.ts
new file mode 100644
index 0000000..528b321
--- /dev/null
+++ b/lib/insights/velocity.ts
@@ -0,0 +1,57 @@
+import { prisma } from '@/lib/prisma'
+import { productAccessFilter } from '@/lib/product-access'
+
+export interface VelocitySprint {
+  sprintId: string
+  sprintGoal: string
+  productId: string
+  productName: string
+  doneCount: number
+  completedAt: string
+}
+
+export interface VelocityData {
+  sprints: VelocitySprint[]
+  productNames: { id: string; name: string }[]
+}
+
+export async function getVelocity(userId: string, sprintsBack = 5): Promise<VelocityData> {
+  const sprints = await prisma.sprint.findMany({
+    where: {
+      status: 'COMPLETED',
+      product: productAccessFilter(userId),
+    },
+    orderBy: { completed_at: 'desc' },
+    take: sprintsBack,
+    select: {
+      id: true,
+      sprint_goal: true,
+      completed_at: true,
+      product: { select: { id: true, name: true } },
+      tasks: { select: { status: true } },
+    },
+  })
+
+  // Reverse to chronological order (oldest first, for x-axis)
+  const chronological = [...sprints].reverse()
+
+  const result: VelocitySprint[] = chronological.map(sprint => ({
+    sprintId: sprint.id,
+    sprintGoal: sprint.sprint_goal,
+    productId: sprint.product.id,
+    productName: sprint.product.name,
+    doneCount: sprint.tasks.filter(t => t.status === 'DONE').length,
+    completedAt: sprint.completed_at!.toISOString(),
+  }))
+
+  const seen = new Set<string>()
+  const productNames: { id: string; name: string }[] = []
+  for (const s of result) {
+    if (!seen.has(s.productId)) {
+      seen.add(s.productId)
+      productNames.push({ id: s.productId, name: s.productName })
+    }
+  }
+
+  return { sprints: result, productNames }
+}