Do Now warm-up prompt

Do Now: Old cars were built rigid and strong, and barely dented in crashes. Modern cars crumple. Which is safer for the people inside? Why?

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Modern cars. A car that crumples takes longer to stop, so the people inside feel a smaller force. A rigid car stops almost instantly.

A. Crumple Zones

A car before and after a crash with a crumple zone

B. Seat Belts and Airbags

Seat belts make you slow down with the car instead of flying forward and stopping suddenly against the dashboard or windshield. The belt stretches a little, adding stopping time, and spreads the force across your strong hips and chest.

Airbags inflate in a few hundredths of a second and then let gas out as you push into them. This adds stopping time and spreads the force over your head and chest.

Airbags work with seat belts, not instead of them. Without a belt, you can hit the airbag too fast or in the wrong position.

C. Helmets

Layers of a bike helmet

Increase time: the foam crushes, so your head stops over a longer time.

Spread force: the hard shell spreads the force over a larger area of your head.

D. Same Physics Everywhere

DeviceHow It Increases Stopping Time
Crumple zoneThe car’s front crushes gradually
Seat beltStretches slightly; keeps you slowing with the car
AirbagCushions and slowly deflates
HelmetFoam liner crushes
Football padsFoam compresses
Highway crash barrelsSand-filled barrels spread a crash over a longer distance
Bending your kneesYour legs slow your body over a longer time
ParachuteLowers your landing speed, so there’s less momentum to lose

Explore: Crash Test Lab

Choose a speed and protection, then press Crash! Compare the force graph with the previous trial.

Try This

Find the combination of protection that gives the smallest force at 20 m/s. How many times smaller is it than no seat belt in a rigid car?

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Crumple zone + seat belt + airbag gives the longest stopping time (0.18 s) vs 0.010 s with no belt — 18 times smaller force.

Check Your Understanding

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

1. A crumple zone makes a car safer because it

2. Why should a bike helmet be replaced after a big crash?

3. Airbags reduce injuries by

4. Which does NOT reduce the force by increasing stopping time?

5. A seat belt helps mainly because it

NYSSLS Regents Practice · Collision Safety · Evaluating Designs

Comparing Bicycle Helmet Liners

Engineers dropped a 5.0-kg head form wearing different bicycle helmets onto a steel anvil. The head form struck the anvil at 6.0 m/s each time and came to rest. Sensors measured the impact time.

Table 1: Helmet Liner Test Data

HelmetLiner MaterialImpact Time (s)
WNo liner0.0030
XThin foam0.0060
YThick foam0.012
ZThick foam + air cells0.015

Which helmet exerts the smallest average force on the head form, and why?

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

Challenge score: 0 / 6

Support or Refute · Justify

C1. An engineer makes the following claim.

Claim: Doubling the impact time from Helmet X to Helmet Y cuts the average force on the head form in half.

Place a check mark in either the Support or Refute box. Justify your response using data from Table 1 and a mathematical relationship.

Multiple choice

C2. A car’s crumple zone is designed to collapse during a collision. How does this protect passengers?

Substitute values

C3. Substitute numerical values into a mathematical representation that can be used to determine the magnitude of the average force on the head form with Helmet Y. Then calculate the force.

F = ( kg)( m/s)( s) = N
Select all that apply

C4. Place a check mark in three boxes to indicate design features that would reduce the average force on a rider’s head in a crash at the same speed.

Multiple choice

C5. How does the kinetic energy of the head form get transformed when it strikes Helmet Y?

Constructed response

C6. A safety standard requires that the average force on the head form stay below 3000 N in this test. Using data from Table 1, identify which helmets meet the standard, recommend one helmet for production, and state one trade-off that supports your choice.