Do Now warm-up prompt

Instantaneous Velocity - velocity at a single moment in time

Fill In The Blanks Notes

Warm-Up

Drag and drop displacement activity

Drag and Drop Displacement

Video Instruction

showmethephysics.com

Instantaneous Velocity

Velocity at a single moment in time

Speedometer gauge
Slope and Motion tool

Slope and Motion   [ HTML5 ]

What is the velocity of the object at 6 seconds?

Displacement vs time plot
Step 1 - Draw a tangent line at the time you want to find the velocity
Displacement vs time plot with tangent line
Step 2 - Find the SLOPE of the tangent line (Slope = Velocity)
Displacement vs time plot showing slope calculation
↓

Slope of tangent = Δd/Δt
= Velocity @ 6 sec.

= (2.5 m − .5 m)/(8.8 sec − 4 sec)

= .4 m/s

Ranking Task

Rank the accelerations from greatest to least.

Acceleration ranking task diagram

Review

Review motion plot
June 2026

Try This at Home!

Show this to your young siblings or cousins. All you need is whole milk, food dye, and a Q-tip soaked in dish detergent.

Check Your Understanding

5 quick questions — pick an answer to see if you’re right.

1. What is instantaneous velocity?

2. How do you find instantaneous velocity from a curved displacement vs. time graph?

3. A tangent line drawn at t = 6 s passes through (2 s, 1 m) and (10 s, 5 m). What is the velocity at 6 s?

4. What does a car's speedometer display?

5. On a curved displacement vs. time graph, the tangent slope is 1 m/s at 2 s and 3 m/s at 6 s. The object is...

NYSSLS Regents Practice · Kinematics · Models of Motion

Skateboarder on a Ramp

A strobe camera photographed a skateboarder rolling down a straight ramp, starting from rest. The camera flashed every 0.50 second. Diagram 1 shows the skateboarder’s position at each flash.

Diagram 1: Motion Diagram (one dot every 0.50 s)

0 s00.50.251.011.52.252.042.5 s6.25position (m)

Which statement best describes the skateboarder’s motion?

▶ Want a challenge? Open 6 more Regents-style questions  (harder · mixed formats)

Challenge score: 0 / 6

Support or Refute · Justify

C1. A student makes the following claim.

Claim: The skateboarder’s instantaneous speed at 2.5 s is equal to her average speed from 0 s to 2.5 s.

Place a check mark in either the Support or Refute box. Justify your response using a mathematical relationship.

Multiple choice

C2. How can the skateboarder’s instantaneous velocity at 2.0 s be found from a position–time graph?

Substitute values

C3. At 2.5 s, the skateboarder is 6.25 m from her starting point. Substitute numerical values into a mathematical representation that can be used to determine her acceleration. Then calculate the acceleration.

a = 2( m)( s)2 = m/s2
Determine the value

C4. The skateboarder’s acceleration is 2.0 m/s². Determine her speed at the moment of the 1.5-s flash.

v = m/s
Multiple choice

C5. At the bottom, the skateboarder rolls onto rough pavement and slows to a stop. Which motion diagram represents this part of the motion (motion is to the right)?

Constructed response

C6. The skateboarder repeats the run on a steeper ramp, again starting from rest, with the camera still flashing every 0.50 s. Describe how the new motion diagram would differ from Diagram 1, and explain why.