Determining Speed (Velocity)



Determining Speed (Velocity) Name________________

Speed is a measure of how fast an object is moving or traveling. Velocity is a measure of how fast an object is traveling in a certain direction. Both speed and velocity include the distance traveled compared to the amount of time taken to cover this distance.

Speed = distance/time

1. What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?

2. What is the velocity of a plane that traveled 3000 miles from NY to CA in 5.0 hours?

3. John took 45 minutes to bicycle to his grandmother’s house, a total of four kilometers. What was his speed in km/min?

4. It took 3.5 hours for a train to travel the distance between two cities at a velocity of 120 miles/hr. How many miles lie between the two cities?

5. How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr?

6. A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km?

7. A plane traveled for about 2.5 hours at a velocity of 1200 km/hr. What distance did it travel?

8. A girl is pedaling her bicycle at a speed of 0.10 km/min. How far will she travel in two hours?

9. An ant carries food at a speed of 1cm/s. How long will it take the ant to carry a cookie crumb from the kitchen table to the ant hill, a distance of 50 meters? Express your answer in seconds, minutes, and hours.

10. The water in the Buffalo River flows at an average speed of 5 km/hr. If you and a friend decide to canoe down the river at a distance of 16 km, how many hours will it take?

Calculating Average Speed

Graph the following data on the grid below and answer the questions at the bottom of the page.

Time (min) Distance(m)

0. 0

1. 50

2. 75

3. 90

4. 110

5. 125

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Average Speed = total distance/ total time

1. What is the average speed after two minutes?

2. After 3 minutes?

3. After 5 minutes?

4. What is the average speed between two and four minutes?

5. What is the average speed between four and five minutes?

Acceleration Problems

1. A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration?

2. A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration ? Is this

acceleration higher than that of a car which accelerates from 0 to 30 m/s in 8 seconds?

3. A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds. Find the car’s average acceleration.

4. A lizard accelerates from 2 m/s to 10 m/s in 4 seconds. What is the lizard’s average acceleration?

5. A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?

6. You are traveling in a car that is moving at a velocity of 20 m/s. Suddenly, a car 10 meters in front of you slams on it’s brakes. At that moment, you also slam on your brakes and slow to 5 m/s. Calculate the acceleration if it took 2 seconds to slow your car down.

7. A ball is dropped from the top of a building. After 2 seconds, it’s velocity is measured to be 19.6 m/s. Calculate the acceleration for the dropped ball.

Speed, Velocity, and Acceleration Problems

Equations:

Speed =

Velocity =

Acceleration =

For each problem, show the equation used, all work, and your answer with units

1. A Ford Explorer traveled 100 miles the next day for 5 hours.  What was the average speed of this vehicle?

2. A cheetah runs at a velocity of 88 ft/sec for 40 seconds.  How far west does this cheetah run?

3. How long does it take a truck traveling at a velocity of 90 km/hr. to travel 990 km.?

4. An automobile starting at rest (0 ft/sec) increases to a velocity of 91 ft/sec in 7 seconds. What was the acceleration of this vehicle?

5. An object falls from a skyscraper and hits the ground after 5 seconds.  The acceleration

     of this object due to gravity was 9.8 m/s2.  What was the change in velocity of this object?

6. What is the average acceleration of a subway that speeds up from 9.6 m/s

to 12 m/s in 0.8 s on a straight section of track?

Forces

Determine the net force on each object. Be sure to include units and direction.

1. 2.

3. 4.

Weight & Mass

Weight =

1. What is the difference between weight and mass?

2. A science text book has a mass of 2.25 Kg. How much does it weigh on earth?

3. What is the weight of a cat that has a mass of 3 Kg?

4. A person weighs 539 N on earth. What is the person’s mass?

5. A pair of sneakers weighs 4.35 N on earth. What is the mass of the sneakers?

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4 N

3 N

8 N

8 N

5 N

10 N

6 N

3 N

8 N

7 N

7 N

7 N

3 N

3 N

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