Young Geniuses · Ages 13 to 14

Velocity and Acceleration Word Problems

Solve kinematics problems to find velocity and distance. A Grade 8–9 mechanics worksheet with answer keys.

Word Problem WorksheetGrades kinematics, velocity, word-problems5 difficulty levels6 questions

The learning journey

Every activity is one step. Here is where this one fits.

  1. PlayLearn the idea in a game
  2. Practise(you are here)Lock it in on paper
  3. ReviewCome back and keep it sharp
  4. MasterTake on a harder challenge
  5. AchieveEarn a certificate

About Velocity and Acceleration Word Problems

Velocity and Acceleration Word Problems introduces upper-secondary learners to kinematics, the mathematics of motion. Each problem describes an object starting at some velocity and accelerating steadily, and asks the student to find either the final velocity, using the relationship that final velocity equals initial velocity plus acceleration times time, or the distance travelled. Kinematics sits at the meeting point of mathematics and physics, and these relationships are a core part of the Grade 8 to 9 curricula across the US, UK, Canada and Australia as well as introductory science. Working through the problems builds fluency with the equations of motion and, just as importantly, the skill of reading a physical situation and selecting the right relationship. The numbers are chosen so answers come out cleanly, keeping attention on the method and the units, which are an essential part of every answer. Generous working space supports structured solutions. The five levels grow the velocities, accelerations and times so the same student keeps being challenged. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own complete answer key with units. There is no advertising and no sign-up.

Common questions

What relationships are used?
The equations of motion, including v = u + at and distance from acceleration.
What grade is this for?
Grade 8 to Grade 9 learners aged 13 to 14.
Is an answer key included?
Yes, every level has its own answer key with units.

A hand for grown-ups

Before you start
Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
While they work
Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
Afterwards
Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
Watch out for
Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
Away from the screen
Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.

Chosen by the skills this activity practises.