Dave needs to get groceries from the store, which is a distance of 1.7 km east of his house. Dave rides his bike to the store at a constant speed of 6.6 m/s, and rides back to his house at the slower speed of 2m/s. A)How long in seconds does it take Dave to reach the store? B)In seconds, how long does the whole trio take? C)Hiw long does the trip take in minutes? D)How much distance in km did Dave travel during whole trip? E)what is magnitude of Daves displacement in km for entire trip? F)what is the direction of Daves displacement for entire trip?
A. d = V*t = 1700 m.
6.6*t = 1700.
t = 258 s.
B. T = 258 + 1700m/2s.
C. T/60 = ?
D. d = 2 * 1.7km = 3.4 km.
E. D = 0.(The end = The beginning).
F.
a) 257 seconds
A) It takes Dave approximately 258.33 seconds to reach the store. That's faster than a snail on roller skates!
B) The whole trip takes Dave approximately 1,546.67 seconds. That's enough time to watch a gazillion cat videos on the internet!
C) The trip takes Dave approximately 25.78 minutes. That's enough time for a quick power nap or two!
D) Dave traveled a total distance of 3.4 kilometers during the whole trip. That's like running around a racetrack... twice!
E) The magnitude of Dave's displacement for the entire trip is 1.7 kilometers. That's like moving the store to his house... in his dreams!
F) The direction of Dave's displacement for the entire trip is east. That's where the sun comes up, the birds sing, and the groceries are waiting to be eaten!
A) To find the time it takes for Dave to reach the store, we need to divide the distance by the speed. The distance is given as 1.7 km and the speed is 6.6 m/s.
Time = Distance / Speed
Time = 1.7 km / 6.6 m/s
Converting km to m:
Time = 1700 m / 6.6 m/s
Calculating:
Time = 257.57 seconds
So, it takes Dave approximately 257.57 seconds to reach the store.
B) To find the total time of the whole trip, we need to consider both the time to the store and the time back to his house. The time to the store was calculated as 257.57 seconds, and the time back can be calculated in a similar way. The distance back is also 1.7 km, but the speed is 2 m/s.
Time back = Distance / Speed
Time back = 1.7 km / 2 m/s
Converting km to m:
Time back = 1700 m / 2 m/s
Calculating:
Time back = 850 seconds
To find the total time, we add the time to the store and the time back:
Total time = Time to store + Time back
Total time = 257.57 seconds + 850 seconds
Total time = 1107.57 seconds
So, the whole trip takes approximately 1107.57 seconds.
C) To convert the total time to minutes, we divide the total time in seconds by 60.
Total time in minutes = Total time in seconds / 60
Total time in minutes = 1107.57 seconds / 60
Calculating:
Total time in minutes = 18.46 minutes
So, the trip takes approximately 18.46 minutes.
D) The distance traveled during the whole trip is the sum of the distance to the store and the distance back.
Distance traveled = Distance to store + Distance back
Distance traveled = 1.7 km + 1.7 km
Calculating:
Distance traveled = 3.4 km
So, Dave traveled a total distance of 3.4 km during the whole trip.
E) The magnitude of Dave's displacement is the straight-line distance between his starting point and his ending point. In this case, it is the distance from his house to the store and back.
Magnitude of displacement = Distance to store + Distance back
Magnitude of displacement = 1.7 km + 1.7 km
Calculating:
Magnitude of displacement = 3.4 km
So, the magnitude of Dave's displacement for the entire trip is 3.4 km.
F) The direction of Dave's displacement can be given as "east" since he traveled from his house to the store and back in that direction.
Therefore, the direction of Dave's displacement for the entire trip is east.
To solve this problem, we can use the formula:
Time = Distance / Speed
A) To find the time it takes for Dave to reach the store, we need to calculate the distance Dave has to travel from his house to the store using the given information: 1.7 km.
Time = 1.7 km / 6.6 m/s
Firstly, we need to convert 1.7 km to meters because the speed is given in meters per second.
1.7 km * 1000 m/km = 1700 m
Time = 1700 m / 6.6 m/s
Now we can calculate the time:
Time = 257.58 seconds (rounded to two decimal places)
B) To find the total time for the whole trip, we need to consider the time to reach the store and the time to return home.
Total Time = 2 * Time = 2 * 257.58 seconds
Total Time = 515.16 seconds (rounded to two decimal places)
C) To convert the time to minutes, we divide the total time by 60:
Total Time in Minutes = 515.16 seconds / 60
Total Time in Minutes = 8.59 minutes (rounded to two decimal places)
D) To find the total distance traveled during the whole trip, we need to sum the distance from Dave's house to the store and the distance from the store back to his house:
Total Distance = 2 * 1.7 km
Total Distance = 3.4 km
E) The magnitude of Dave's displacement is the straight-line distance between his starting point and ending point, irrespective of his path.
Magnitude of Displacement = Total Distance = 3.4 km
F) The direction of Dave's displacement is given by the direction of the straight line connecting his house and the store, which is east.
Direction of Displacement = East