YouThe table below shows the distance, d, of a spaceflight above the earth in time t.t d8 seconds 20 km34 seconds 85 km2 minutes 300 km 5 minutes 750 kmSelect all of the correct statements.The rate of change is 150 km per minute.The rate of change is 2.5 km per second.The rate of change is 10.7 km per minute.The rate of change is 6.7 km per second.
Question
YouThe table below shows the distance, d, of a spaceflight above the earth in time t.t d8 seconds 20 km34 seconds 85 km2 minutes 300 km 5 minutes 750 kmSelect all of the correct statements.The rate of change is 150 km per minute.The rate of change is 2.5 km per second.The rate of change is 10.7 km per minute.The rate of change is 6.7 km per second.
Solution
To determine the correct statements, we need to calculate the rate of change, which is the change in distance over the change in time.
- The rate of change is 150 km per minute. To check this, let's convert all times to minutes and calculate the rate of change between each pair of points:
- Between 8 seconds (0.13 minutes) and 34 seconds (0.57 minutes), the rate of change is (85 km - 20 km) / (0.57 min - 0.13 min) = 150 km/min. So, this statement is correct.
- The rate of change is 2.5 km per second. To check this, let's convert all distances to km and calculate the rate of change between each pair of points:
- Between 8 seconds and 34 seconds, the rate of change is (85 km - 20 km) / (34 sec - 8 sec) = 2.27 km/sec. So, this statement is incorrect.
- The rate of change is 10.7 km per minute. To check this, let's calculate the rate of change between each pair of points:
- Between 2 minutes and 5 minutes, the rate of change is (750 km - 300 km) / (5 min - 2 min) = 150 km/min. So, this statement is incorrect.
- The rate of change is 6.7 km per second. To check this, let's calculate the rate of change between each pair of points:
- Between 2 minutes (120 seconds) and 5 minutes (300 seconds), the rate of change is (750 km - 300 km) / (300 sec - 120 sec) = 2.25 km/sec. So, this statement is incorrect.
So, the only correct statement is "The rate of change is 150 km per minute."
Similar Questions
A satellite orbits earth at a speed of 22100 feet per second (ft/s). Use the following facts to convert this speed to miles per hour (mph).1 mile = 5280 ft1 min = 60 sec1 hour = 60 minRound your answer to the nearest whole number. Be sure not to round until you have completed all the calculations.Do not type the units in the space below.
Select the correct answer.In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2? A. 25,000=5,000(1.043)𝑡 B. 5,000=25,000(0.043)𝑡 C. 25,000=5,000(1.43)𝑡 D. 5,000=25,000(0.957)𝑡
11. How many metres does an object moving at 20 m/s for 12 minutes travel?
An auto travels at a rate of 25 km/h for 4 minutes, then at 50 km/h for 8 minutes, and finally at 20 km/h for 2 minutes. Find the average speed for the complete trip in meters per second. (Give the answer to one decimal place accuracy.)
How much faster would a person be moving if they stood on top of a 20.4 m high building compared to the ground? Take the period to be one day, and the radius of the earth to be 6400 km. 0.00148 m/s 14.1 m/s 0.727 m/s 0.465 m/s
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.