Solve for speed, distance or time
Grade 8 Science Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Bo rides a scooter at a steady speed. Using the point (5 s, 20 m) on the graph, how far does the scooter go in 8 s?
Esme's class robot crawls at a steady speed (it is in no hurry). Using the point (6 s, 30 m), how far does it crawl in 10 s?
Distance-time graph (example data). Time (s) across, 0 to 8, a mark every 2 s. Distance from start (m) up, 0 to 36, a mark every 6 m. The line passes through (0 s, 0 m) and (6 s, 30 m), a straight line. Distance-time graph (example data). Time (s) across, 0 to 8, a mark every 2 s. Distance from start (m) up, 0 to 36, a mark every 6 m. The line passes through (0 s, 0 m) and (6 s, 30 m), a straight line. Distance-time graph (example data) 0 2 4 6 8 0 6 12 18 24 30 36 Time (s) Distance from start (m) What is the object doing from 2 s to 4 s on the graph, Jun?
Distance-time graph (example data). Time (s) across, 0 to 6, a mark every 1 s. Distance from start (m) up, 0 to 20, a mark every 5 m. The line joins (0 s, 0 m), (2 s, 10 m), (4 s, 10 m), (6 s, 20 m) with straight pieces. Distance-time graph (example data). Time (s) across, 0 to 6, a mark every 1 s. Distance from start (m) up, 0 to 20, a mark every 5 m. The line joins (0 s, 0 m), (2 s, 10 m), (4 s, 10 m), (6 s, 20 m) with straight pieces. Distance-time graph (example data) 0 1 2 3 4 5 6 0 5 10 15 20 Time (s) Distance from start (m) - Moving along at a steady 10 m/s, since the line is at 10
- Stopped: its distance stays at 10 m
- Moving back toward the start at a slow pace
- Moving forward, but very slowly indeed
Which object is faster, and how can you tell from the graph, Kira?
Distance-time graph (example data). Time (s) across, 0 to 5, a mark every 1 s. Distance from start (m) up, 0 to 25, a mark every 5 m. Object A: a straight line from (0 s, 0 m) to (5 s, 10 m). Object B: a straight line from (0 s, 0 m) to (5 s, 25 m). Distance-time graph (example data). Time (s) across, 0 to 5, a mark every 1 s. Distance from start (m) up, 0 to 25, a mark every 5 m. Object A: a straight line from (0 s, 0 m) to (5 s, 10 m). Object B: a straight line from (0 s, 0 m) to (5 s, 25 m). Distance-time graph (example data) 0 1 2 3 4 5 0 5 10 15 20 25 Time (s) Distance from start (m) Object A Object B - Neither, since both lines start at the same point (0 s, 0 m)
- B: its steeper line gains 5 m a second, A only 2 m
- Cannot tell, since a graph shows distance and not speed
- A, since its line stays lower on the graph the whole time
What does the falling line from 4 s to 8 s show, Luz?
Distance-time graph (example data). Time (s) across, 0 to 8, a mark every 2 s. Distance from start (m) up, 0 to 16, a mark every 4 m. The line joins (0 s, 0 m), (4 s, 16 m), (8 s, 0 m) with straight pieces. Distance-time graph (example data). Time (s) across, 0 to 8, a mark every 2 s. Distance from start (m) up, 0 to 16, a mark every 4 m. The line joins (0 s, 0 m), (4 s, 16 m), (8 s, 0 m) with straight pieces. Distance-time graph (example data) 0 2 4 6 8 0 4 8 12 16 Time (s) Distance from start (m) - A speed of 0 m/s, since it ends at 0 m
- The object is moving away from the start more slowly
- The object is slowing down to a stop
- The object is coming back toward the start at 4 m/s
Read this first
Two readings (example data)
reading time (s) distance from start (m) first 2 20 second 10 60 Milo's bike rides at a steady speed past a marker. Using the two readings, what is the bike's speed?
A lab cart rolls at a steady speed along a track. Noah records two readings. What is the cart's speed?
Two cars each travel at 20 m/s, one heading north and one heading east. How do their speeds and velocities compare, Ren?
- Different speeds, since the two cars head in different ways
- Same speed and the same velocity, since both are 20 m/s
- Same speed, different velocities, since directions differ
- Same velocity, since velocity is just how fast each car goes
Tala rolls a ball 12 m east, and it rolls 12 m back west, in 8 s in all. What are its average speed and average velocity?
- Speed 0 m/s and velocity 0 m/s, since it ends where it began
- Speed 1.5 m/s and velocity 1.5 m/s, since 12 m takes 8 s
- Speed 3 m/s and velocity 3 m/s east, since it moved 3 m each second
- Speed 3 m/s and velocity 0 m/s, since it ends where it began
A car drives around a circular track at a steady 15 m/s. Is the car's velocity steady, Zee?
- Yes, since its speed is steady, the velocity is steady too
- No, since its speed keeps changing as it goes around
- No: speed is steady, but the direction keeps changing
- Yes, since it stays on the same track the whole way