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Sagot :
Answer:
40 km/h
Question 2:
Step 1: Calculate the total displacement:
Total displacement = 100 m (east) - 50 m (west)
Total displacement = 50 m (east)
Step 2: Calculate the total time taken for the trip:
Total time = 12 s + 30 s
Total time = 42 s
Step 3: Calculate the average velocity:
Average velocity = Total displacement / Total time
Average velocity = 50 m / 42 s
Average velocity ≈ 1.19 m/s east
Answer: 1.19 m/s east
Question 3:
Step 1: Calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 16200 m/h - 7200 m/h
Change in velocity = 9000 m/h
Step 2: Convert the change in velocity to m/s:
Change in velocity = 9000 m/h * (1 h / 3600 s)
Change in velocity = 2.5 m/s
Step 3: Calculate the average acceleration:
Average acceleration = Change in velocity / Time taken
Average acceleration = 2.5 m/s / 5 s
Average acceleration = 0.5 m/s^2
Answer: 0.5 m/s^2
Question 4:
Step 1: Calculate the final velocity after 10 seconds of acceleration:
Final velocity = Initial velocity + (Acceleration * Time)
Final velocity = 60 m/s + (3.0 m/s^2 * 10 s)
Final velocity = 60 m/s + 30 m/s
Final velocity = 90 m/s
Step 2: Calculate the distance traveled during the 10s interval:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
Distance = 60 m/s * 10 s + 0.5 * 3.0 m/s^2 * (10 s)^2
Distance = 600 m + 0.5 * 3.0 m/s^2 * 100 s^2
Distance = 600 m + 150 m
Distance = 750 m
Answer: 750 meters
Question 5:
Step 1: Calculate the displacement after 1.20 seconds:
Displacement = Initial velocity * Time + 0.5 * Acceleration * Time^2
Displacement = 10 m/s * 1.20 s + 0.5 * (-9.81 m/s^2) * (1.20 s)^2
Displacement = 12 m - 7.08 m
Displacement ≈ 4.92 m
Answer: 4.92 meters
Let's solve each problem step by step:
Question 1:
1Calculate the total distance traveled by the car:
Distance = (40 km/h * 2 h) + (50 km/h * 1 h) + (20 km/h * 0.50 h)
Distance = 80 km + 50 km + 10 km
Distance = 140 km
2Calculate the total time taken by the car:
Total time = 2 h + 1 h + 0.50 h
Total time = 3.50 h
3Calculate the average speed of the car:
Average speed = Total distance / Total time
Average speed = 140 km / 3.50 h
Average speed = 40 km/h
Explanation:
40 km/h
Question 2:
Step 1: Calculate the total displacement:
Total displacement = 100 m (east) - 50 m (west)
Total displacement = 50 m (east)
Step 2: Calculate the total time taken for the trip:
Total time = 12 s + 30 s
Total time = 42 s
Step 3: Calculate the average velocity:
Average velocity = Total displacement / Total time
Average velocity = 50 m / 42 s
Average velocity ≈ 1.19 m/s east
Answer: 1.19 m/s east
Question 3:
Step 1: Calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 16200 m/h - 7200 m/h
Change in velocity = 9000 m/h
Step 2: Convert the change in velocity to m/s:
Change in velocity = 9000 m/h * (1 h / 3600 s)
Change in velocity = 2.5 m/s
Step 3: Calculate the average acceleration:
Average acceleration = Change in velocity / Time taken
Average acceleration = 2.5 m/s / 5 s
Average acceleration = 0.5 m/s^2
Answer: 0.5 m/s^2
Question 4:
Step 1: Calculate the final velocity after 10 seconds of acceleration:
Final velocity = Initial velocity + (Acceleration * Time)
Final velocity = 60 m/s + (3.0 m/s^2 * 10 s)
Final velocity = 60 m/s + 30 m/s
Final velocity = 90 m/s
Step 2: Calculate the distance traveled during the 10s interval:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
Distance = 60 m/s * 10 s + 0.5 * 3.0 m/s^2 * (10 s)^2
Distance = 600 m + 0.5 * 3.0 m/s^2 * 100 s^2
Distance = 600 m + 150 m
Distance = 750 m
Answer: 750 meters
Question 5:
Step 1: Calculate the displacement after 1.20 seconds:
Displacement = Initial velocity * Time + 0.5 * Acceleration * Time^2
Displacement = 10 m/s * 1.20 s + 0.5 * (-9.81 m/s^2) * (1.20 s)^2
Displacement = 12 m - 7.08 m
Displacement ≈ 4.92 m
Answer: 4.92 meters
Let's solve each problem step by step:
Question 1:
1Calculate the total distance traveled by the car:
Distance = (40 km/h * 2 h) + (50 km/h * 1 h) + (20 km/h * 0.50 h)
Distance = 80 km + 50 km + 10 km
Distance = 140 km
2Calculate the total time taken by the car:
Total time = 2 h + 1 h + 0.50 h
Total time = 3.50 h
3Calculate the average speed of the car:
Average speed = Total distance / Total time
Average speed = 140 km / 3.50 h
Average speed = 40 km/h
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