Calculate the average speed of a car that travels 200 miles in 4 hours.

• 25 miles per hour

• 100 miles per hour

• 10 miles per hour

• 50 miles per hour

Answer explanation

To calculate average speed, divide total distance by total time. In this case, 200 miles / 4 hours = 50 miles per hour. Therefore, the correct answer is 50 miles per hour.

A car accelerates from rest at a rate of 2 m/s^2. How far does it travel in 10 seconds?

• 5 m

• 200 m

• 100 m

• 50 m

Answer explanation

The distance traveled can be calculated using the formula: distance = 0.5 * acceleration * time^2. Plugging in the values, distance = 0.5 * 2 * 10^2 = 100 m. Therefore, the correct answer is 100 m.

An object is moving with a constant velocity of 20 m/s. What is its displacement after 5 seconds?

• 50 m

• 200 m

• 100 m

• 10 m

Answer explanation

The displacement of an object moving with constant velocity is calculated by multiplying the velocity by time. In this case, 20 m/s * 5 s = 100 m. Therefore, the displacement after 5 seconds is 100 meters.

Examine the given motion graph and determine the object's acceleration during the time interval shown.

• The correct answer cannot be determined without the specific motion graph provided.

• The acceleration is -9.8 m/s^2

• The acceleration is 0 m/s^2

• The acceleration is 10 m/s^2

Answer explanation

The correct answer cannot be determined without the specific motion graph provided.

Tags

NGSS.MS-PS3-1

A car is initially traveling at 10 m/s and accelerates at a rate of 3 m/s^2 for 5 seconds. What is its final velocity?

• 5 m/s

• 25 m/s

• 30 m/s

• 15 m/s

Answer explanation

The final velocity can be calculated using the formula: final velocity = initial velocity + (acceleration * time). Therefore, final velocity = 10 m/s + (3 m/s^2 * 5 s) = 25 m/s. Hence, the correct answer is 25 m/s.

Tags

NGSS.MS-PS2-2

A train decelerates from 30 m/s to 10 m/s in 5 seconds. Calculate its acceleration.

• 5 m/s^2

• 10 m/s^2

• 0 m/s^2

• -4 m/s^2

Answer explanation

The acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time. Substituting the values, we get acceleration = (10 m/s - 30 m/s) / 5 s = -4 m/s^2. Therefore, the correct answer is -4 m/s^2.

A cyclist travels 15 km at an average speed of 20 km/h. How long does the journey take?

• 2 hours

• 5 hours

• 10 minutes

• 0.75 hours

Answer explanation

The journey takes 0.75 hours because time = distance / speed = 15 km / 20 km/h = 0.75 hours.

A ball is thrown vertically upward with an initial velocity of 30 m/s. How high does it go before coming back down?

• 35.8 meters

• 45.92 meters

• 20.5 meters

• 60.2 meters

Answer explanation

The ball reaches its maximum height when its final velocity is 0. Using the kinematic equation, the height can be calculated as h = (v^2) / (2g) where v is the initial velocity and g is the acceleration due to gravity. Substituting the values, h = (30^2) / (2*9.8) = 45.92 meters.

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-4

Position

• a specific point in space

• the amount of space between one point and another

• the change in position of an object

• the point or place where something begins

Answer explanation

The correct choice is 'a specific point in space' because position refers to a specific location in space.

Distance

• the amount of space between one point and another

• a specific point in space

• the change in position of an object

• the point or place where something begins

Answer explanation

Distance refers to the amount of space between one point and another, making the correct answer choice 'the amount of space between one point and another'.