2. 1D Motion / Kinematics

Kinematics Equations

2. 1D Motion / Kinematics

# Kinematics Equations - Video Tutorials & Practice Problems

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concept

### Kinematics Equations

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2

Problem

ProblemA car accelerates from 5 m/s to 21 m/s at a constant 3.0 m/s^{2}. How far does it travel while accelerating?

A

437 m

B

2.67 m

C

69.3 m

D

42.7 m

3

Problem

ProblemA moving hockey puck encounters a patch of rough ice and slides 90cm before coming to a full stop. Assuming a constant deceleration of 8 m/s^{2}, what was the puck's initial speed?

A

3.79 m/s

B

2.68 m/s

C

37.9 m/s

D

1.90 m/s

4

Problem

ProblemCertain rifles can fire a bullet with a speed of 970 m/s just as it leaves the muzzle (this speed is called the muzzle velocity). The muzzle is 70.0 cm long and the bullet is accelerated uniformly from rest within it.

For how long (in ms) is the bullet in the muzzle?

A

144 ms

B

1.44 ms

C

0.722 ms

D

1440 ms

5

concept

### Acceleration Signs

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6

concept

### Acceleration with Multiple Parts

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example

### Subway Train

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PRACTICE PROBLEMS AND ACTIVITIES (32)

- A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She...
- a. Find an expression for the minimum stopping distance dₛₜₒₚ of a car traveling at speed v₀ if the driver's r...
- A car starts from rest at a stop sign. It accelerates at 4.0 m/s² for 6.0 s, coasts for 2.0 s, and then slows ...
- You're driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you....
- A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After travel...
- A sprinter can accelerate with constant acceleration for 4.0 s before reaching top speed. He can run the 100 m...
- A motorist is driving at 20 m/s when she sees that a traffic light 200 m ahead has just turned red. She knows ...
- At launch a rocket ship weighs 4.5 million pounds. When it is launched from rest, it takes 8.00 s to reach 161...
- An astronaut has left the International Space Station to test a new space scooter. Her partner measures the fo...
- A pilot who accelerates at more than 4g begins to 'gray out' but doesn't completely lose consciousness. (b) Ho...
- A pilot who accelerates at more than 4g begins to 'gray out' but doesn't completely lose consciousness. (a) As...
- In the fastest measured tennis serve, the ball left the racquet at 73.14 m/s. A served tennis ball is typicall...
- A Fast Pitch. The fastest measured pitched baseball left the pitcher's hand at a speed of 45.0 m/s. If the pit...
- An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 6.00 s. I...
- The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration ...
- When you sneeze, the air in your lungs accelerates from rest to 150 km/h in approximately 0.50 s. What is the ...
- How far has the car traveled when it reaches 60 mph? Give your answer both in SI units and in feet.
- You are driving to the grocery store at 20 m/s. You are 110 m from an intersection when the traffic light turn...
- What constant acceleration, in SI units, must a car have to go from zero to 60 mph in 10 s?
- For an object starting from rest and accelerating with constant acceleration, distance traveled is proportiona...
- You throw a 5.5 g coin straight down at 4.0 m/s from a 35-m-high bridge. (b) What is the speed of the coin jus...
- (II) A baseball pitcher throws a baseball with a speed of 43 m/s. Estimate the average acceleration of the bal...
- (II) A car traveling 85 km/h slows down at a constant 0.50 m/s² just by 'letting up on the gas.' Calculate(c) ...
- A package of mass m is placed onto a horizontal conveyor belt moving at speed v (Fig. 7–32). The coefficient o...
- (II) An 85-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s wh...
- A person who is properly restrained by an over-the-shoulder seat belt has a good chance of surviving a car col...
- A robot used in a pharmacy picks up a medicine bottle at t = 0. It accelerates at 0.20 m/s² for 4.5 s, then tr...
- Determine the stopping distances for an automobile going a constant initial speed of 95 km/h in the +𝓍 direct...
- (I) A car slows down from 28 m/s to rest in 6.3 s. What was its (constant) acceleration?
- A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 18.0 m of a race. What is the av...
- "Consider the street pattern shown in Fig. 2–51. Each intersection has a traffic signal, and the speed limit i...
- Show that v = (v + v₀)/2 (see Eq. 2–12d) is not valid when the acceleration a = A + Bt, where A and B are non-...