Math Problems

What is the acceleration if:

A car slows from 30 m/s to 20 m/s in 5 seconds.(Problem 1)
A person increases from 1 m/s to 6 m/s in 10 seconds.(Problem 2)
A person increases from 4 m/s to 6 m/s during 10 seconds to 14 seconds into the race.(Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.20-30=-10m/s

• Calculate ∆ in T.

• (Ending-beginning) Time.5-0=5 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (-10 m/s)/5seconds= -2m/s2

• Calculate ∆ in V.

• (Ending-beginning)vel.6-1=5 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 10-0=10 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

(5 m/s)/10seconds= 0.5 m/s2

• Calculate ∆ in V.

• (Ending-beginning)vel.6-4= 2 m/s

• Calculate ∆ in T.

• (Ending-beginning) time.14-10=4 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (2 m/s)/4 seconds= 0.5 m/s2

What is the acceleration if:

A car goes from 100 m/s to 120 m/s in the 200 to 205 seconds of the race. (Problem 1)
A person decreases from 10 m/s to 6 m/s in 1 second. (Problem 2)
A rocket increases from 0 m/s to 500 m/s during the first 10 seconds of the launch. (Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.120-100= 20m/s

• Calculate ∆ in T.

• (Ending-beginning) time.205-200=5 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (20 m/s)/5seconds= 4 m/s2

• Calculate ∆ in V.

• (Ending-beginning)vel. 6-10=-4 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 1 second

• Calculate acceleration = ∆ in V/ ∆ in T

• (-4 m/s)/1second= -4 m/s2

3. A rocket increases from 0 m/s to 500 m/s during the first 10 seconds of the launch. (Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.500-0= 500 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 10 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (500 m/s)/10 seconds= 50 m/s2

Complete the following:

What is the acceleration if a rocket increases from 0 m/s to 400 m/s during the first 8 seconds of the launch. (Problem 1)
If the rocket in problem 1 continues along in constant acceleration, what is the speed 10 seconds after the launch? (Problem 2)
A person goes from 2 m/s to 6 m/s in 2 seconds. (Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.400-0= 400m/s

• Calculate ∆ in T.

• (Ending-beginning) Time.8-0=8 sec

• Calculate acceleration = ∆ in V/ ∆ in T

• (400 m/s)/8 seconds= 50 m/s2

• Calculate acceleration = ∆ in V/ ∆ in T

• (400 m/s)/8 seconds= 50 m/s2

• Find the difference in time. 10-8= 2sec

• Multiply acceleration times time.

• 50 m/s2(2sec) = 100 m/s

• Add the new speed to the old 100+400=500 m/sec

• Calculate ∆ in V.

• (Ending-beginning)vel.6-2= 4 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 2 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (4 m/s)/2 seconds= 2 m/s2

Complete the following:

What is the acceleration if a rocket decreases from 5000 m/s to 1000 m/s during the time from 50 seconds to 60 seconds after the launch. (Problem 1)
If the rocket in problem 1 continues along in constant deceleration, what is the speed at 62 seconds after the launch? (Problem 2)
What is the acceleration if a person goes from 10 m/s to 16 m/s in 4 seconds. (Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.1000-5000= 4000m/s

• Calculate ∆ in T.

• (Ending-beginning) Time.60-50=10 sec

• Calculate acceleration = ∆ in V/ ∆ in T

• (4000 m/s)/10 seconds= -400 m/s2

• Calculate acceleration = ∆ in V/ ∆ in T

• (4000 m/s)/10 seconds= -400 m/s2

• Find the difference in time. 62-60= 2sec

• Multiply acceleration times time.

• -400 m/s2(2sec) = -800 m/s

• Add the new speed to the old 1000-800=200 m/sec

• Calculate ∆ in V.

• (Ending-beginning)vel.16-10= 6 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 4 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (6 m/s)/4 seconds= 1.5 m/s2

Complete the following:

What is the acceleration if a rocket increases from 500 m/s to 1000 m/s during the time from 50 seconds to 55 seconds after the launch. (Problem 1)
If the rocket in problem 1 continues along in constant acceleration, what is the speed at 58 seconds after the launch? (Problem 2)
What is the acceleration if a person goes from 20 m/s to 16 m/s in 8 seconds. (Problem 3)

• Calculate ∆ in V.

• (Ending-beginning)vel.1000-500= 500m/s

• Calculate ∆ in T.

• (Ending-beginning) Time.55-50=5 sec

• Calculate acceleration = ∆ in V/ ∆ in T

• (500 m/s)/5 seconds= 100 m/s2

• Calculate acceleration = ∆ in V/ ∆ in T

• (4000 m/s)/10 seconds= 100m/s2

• Find the difference in time. 58-55= 3sec

• Multiply acceleration times time.

• 100m/s2(3sec) =300 m/s

• Add the new speed to the old 1000+300=1300 m/sec

• Calculate ∆ in V.

• (Ending-beginning)vel.16-20= -4 m/s

• Calculate ∆ in T.

• (Ending-beginning) time. 8 seconds

• Calculate acceleration = ∆ in V/ ∆ in T

• (-4 m/s)/8 seconds= -0.5 m/s2

Calculate the following:

What is Doug’s average speed if he drives 240 kilometers in three hours? (Prob. 1)
What is Sean’s average speed if he snowmobiles 83 kilometers in 2 hours? (Problem 2)
If Steve runs 6 kilometers per hour, for 90 minutes, how far will he run? (Problem 3)
How long will it take Rob to run 2 kilometers if he runs 6 kmph? (Prob. 4)

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 240 Km/3 hours

• Answer= 80 kilometers /hour or 80 Kmph

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 83 kilometers /2 hours

• Answer= 41.5 Kmph

• Determine the proper formula.

• Distance = Average Speed X Time

• Make sure all labels match up-

• Convert minutes to hours.(90min/60min/hr=1.5hrs)

• Plug in the data.

• 6 Kmph X 1.5 hours

• Answer= 9 Km

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 2 kilometers /6 Kmph

• Answer= 0.33 hours (20 minutes)

Calculate the following.

What is Dawn’s average speed if she drives 220 kilometers in 110 minutes? (Problem 1)
What is Sally’s average speed if she snowmobiles 180 kilometers in 2 hours? (Problem 2)
If Cindy runs 6 kilometers per hour, for 180 minutes, how far will she run? (Problem 3)
How long will it take Rayleen to run 4 kilometers if she runs 8 Kmph? (Prob. 4)

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 220 kilometers /110 minutes

• Answer= 2 kilometers /minute or 120 kmph

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 180 kilometers /2 hours

• Answer= 90 Kmph

• Determine the proper formula.

• Distance = Average Speed (Time)

• Convert from minutes to hour-(180min/(60min/1hr)=3hrs)

• Plug in the data.

• 6 kmph(3 hours)

• Answer= 18 kilometers

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 4 kilometers/8 Kmph

• Answer= 0.5 hours or (30 minutes)

Calculate the following.

If Steve walks 1.5 kilometers per hour, for 3 hours, how far will he walk? (Problem 1)
What is Amber’s average speed if she drives 314 kilometers in 628 minutes? (Problem 2)
How long will it take Jenny to run 2 kilometers if she runs 5 kmph? (Prob. 3)

4. What is Jim’s average speed if he rollerblades 4 kilometers in 120 minutes? (Problem 4)

• Determine the proper formula.

• Distance = Average Speed X Time

• Plug in the data.

• 1.5 Kmph X 3 hours

• Answer= 4.5 kilometers

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 314 kilometers/628 minutes

• Answer= 0.5 kilometers/minute

• Answer= 0.5 km/min

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 2 kilometers /5 Kmph

• Answer= 0.4 hours (24 minutes)

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 4km/120min=0.03 km/min

• 120 min/60 min/hr= 2 hours

• 4 kilometers / 2 hours

• Answer= 2 Kmph

Calculate the following.

If Bob drives 60 kilometers per hour, for 120 minutes, how far will he drive? (Problem 1)
What is Susan’s average speed if she snowmobiles 200 kilometers in 4 hours? (Problem 2)
How long will it take Rob to run 4 kilometers if he runs 12 kmph? (Prob 3)
What is Darla’s average speed if she drives 240 Kms in three hours? (Prob. 4)

• Determine the proper formula.

• Distance = Average Speed X Time

• Convert minutes to hours(120/60 min/hour=2)

• Plug in the data.

• 60 Kmph X 2 hours

• Answer= 120 Km

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 200 kilometers /4 hours

• Answer= 50 Kmph

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 4 kilometers /12 Kmph

• Answer= 0.33 hours (20 minutes)

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 240 Km/3 hours

• Answer= 80 kilometers /hour or 80 Kmph

Calculate the following.

What is Darla’s average speed if she drives 200 Kms in 10 hours? (Problem 1)
What is Jill’s average speed if she snowmobiles 100 kilometers in 10 hours? (Problem 2)
How long will it take Rick to walk 4 kilometers if he walks 3 kmph? (Prob 3)

4. If Steve Flies 1000 kilometers per hour, for 90 minutes, how far will he fly? (Prob. 4)

• Determine the proper formula.

• Average Speed = Distance / Time

• Plug in the data.

• 200 Kms X 10 hours

• Answer= 20 Km/hr

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 100 kilometers /10 hours

• Answer= 10 Kmph

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 4 kilometers /3 Kmph

• Answer= 1.33 hours (1hr 20 minutes)

• Determine the proper formula.

• 90/60=1.5 hours

• Distance Traveled =Average Speed X Time Taken

• Plug in the data.

• 1000 Km/ hour X 1.5 hours

• Answer= 1500 Km

Calculate the following.

What is Jodi’s average speed if she drives 180 Kms in 3 hours? (Problem 1)
What is Bill’s average speed if he bikes 10 kilometers in 2 hours? (Problem 2)
How long will it take Ron to Skip 6 kilometers if he Skips 3 kmph? (Prob 3)
If Stu Flies 400 kilometers per hour, for 90 minutes, how far will he fly? (Prob. 4)

• Determine the proper formula.

• Average Speed = Distance / Time

• Plug in the data.

• 180 Kms X 3 hours

• Answer= 60 Km/hr

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 10 kilometers /2 hours

• Answer= 5 Kmph

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 6 kilometers /3 Kmph

• Answer= 2 hours

• Determine the proper formula.

• 90/60=1.5 hours

• Distance Traveled =Average Speed X Time Taken

• Plug in the data.

• 400 Km/ hour X 1.5 hours

• Answer= 600 Km

Calculate the following.

What is Deb’s average speed if she drives 80 kilometers in 60 minutes? (Problem 1)
What is Sue’s average speed if she snowmobiles 210 kilometers in 3 hours? (Problem 2)
If Corey runs 10 kilometers per hour, for 120 minutes, how far will he run? (Problem 3)
How long will it take Ray to run 9 kilometers if he runs 3 Kmph? (Prob. 4)

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 60/60=1hour

• 80 kilometers /1 hour

• Answer= 80 kmph

• 80 Km/60 min=1.3 Km/min

• Determine the proper formula.

• Average Speed = Distance Traveled / Time Taken

• Plug in the data.

• 210 kilometers /3 hours

• Answer= 70 Kmph

• Determine the proper formula.

• Distance = Average Speed X Time

• Convert from minutes to hour(120/60=2)

• Plug in the data.

• 10 kmph X 2 hours

• Answer= 20 kilometers

• Determine the proper formula

• Time = Distance / Average Speed

• Plug in the data.

• 9 kilometers/3 Kmph

• Answer= 3 hours

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