Kinematics Equations

An airplane accelerates down a runway from rest at 3.20 m/s² for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

Which equation is appropriate?

• vf=vi+a*t

• x=vi*t+1/2at²

• vf²=vi²+2aX

• x=((vf+vi)/2)t

Tags

NGSS.HS-PS2-1

An object with an initial velocity of 3.50 m/s moves east along a straight and level path. The object then undergoes a constant acceleration of 1.80 m/s² east for a period of 5.00 s. How far does the object move while it is accelerating?

• 6.30 m
• 17.5 m
• 27.2 m
• 40.0 m

Tags

NGSS.HS-PS2-1

How long would it take a car, starting from rest and accelerating uniformly in a straight line at 5 m/s², to cover a distance of 200m

• 9.0s

• 10.5s

• 12.0s

• 15.5s

Tags

NGSS.HS-PS2-1

A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12.0 m?

• 1.3 m/s²
• 2.5 m/s²
• 3.0 m/s²
• 7.5 m/s²

Tags

NGSS.HS-PS2-1

A car is traveling at 21.0 m/s. It slows to a stop at a constant rate over 5.00 s. How far does the car travel during those 5.00 seconds before it stops? 

• 4.20 m
• 52.5 m
• 105 m
• 158 m

Tags

NGSS.HS-PS2-1

A curious kitten pushes a ball of yarn at rest with its nose displacing the ball of yarn 15.4 cm in 3.00 s. What is the acceleration of the ball of yarn?

• 4.38 cm/s²

• 3.42 cm/s²

• 46.2 cm/s²

• 18.4 cm/s²

Tags

NGSS.HS-PS2-1

A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration of 3.0 m/s². What is the magnitude of the cart's displacement after the first 4.0 s of its motion?

• 10.0 m

• 55 m

• 32 m

• 80.0 m

Tags

NGSS.HS-PS2-1

A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car.

• 2.55 m

• 57.1 m

• 28.6 m

• 79.5 m

It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s2, determine the speed of the Jaguar before it began to skid.

• 12.48 m/s

• 28 m/s

• 44.4 m/s

• 47.6 m/s

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated from rest to a speed of 444 m/s in 1.83 seconds, then what is the distance that the sled travels?
Choose the appropriate equation.

• v_f=v_i+at

• Δx=v_it+½at²

• v_f²=v_i²+2aΔX

• Δx= ½(v_f+v_i)t