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1. A car travels 40 km/h for 2.0 h, at 50 km/h for 1.0 h, and at 20 km/h for 0.50 h. What is the average speed of the car?

2. You run 100 m east in 12 s, then turn around and jog 50 m back toward the starCng point in 30s. Calculate your average velocity for the total trip.

3. A car is traveling with a velocity of 7200 meters per hour and speeds up to 16,200 meters per hour in just 5 seconds. What is the average acceleration of the car?

4. A plane flying at 60 m/s is uniformly accelerated at the rate of 3.0 m/s2. What is the distance it will travel during a 10s interval after the acceleration begins?

5. A grasshopper jumps straight upwards with a velocity of 10 m/s. How far did the grasshopper jump after 1.20 s?

Sagot :

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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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