Acceleration, Distance, and Time Challenge

What is the formula to calculate distance when acceleration is constant?

• distance = initial_velocity + acceleration * time

• distance = initial_velocity * time + 0.5 * acceleration * time^2

• distance = initial_velocity * time^2 + acceleration * time

• distance = final_velocity * time - 0.5 * acceleration * time^2

If an object accelerates at 5 m/s² for 3 seconds, what distance does it cover?

• 10 m

• 30 m

• 22.5 m

• 15 m

How do you calculate time if you know the distance and acceleration?

• t = a / d

• t = sqrt(2 * d / a)

• t = d / a

• t = 2 * d / a

What is the unit of acceleration in the International System of Units (SI)?

• feet per second squared (ft/s²)

• meters per second squared (m/s²)

• kilometers per hour (km/h)

• meters per second (m/s)

If a car accelerates from rest to 60 m/s in 10 seconds, what is its acceleration?

• 3 m/s²

• 12 m/s²

• 15 m/s²

• 6 m/s²

Explain how a distance vs. time graph looks for an object in uniform acceleration.

• The graph is a parabolic curve, indicating increasing distance with time due to uniform acceleration.

• The graph shows a zigzag pattern, indicating varying speeds.

• The graph is a straight line, indicating constant speed.

• The graph is a horizontal line, indicating no movement.

What does the slope of a distance vs. time graph represent?

• The slope shows the acceleration of an object.

• The slope indicates the time taken.

• The slope represents distance traveled.

• The slope represents speed or velocity.

If an object travels 100 meters in 4 seconds with constant acceleration, what is its average speed?

• 30 meters per second

• 40 meters per second

• 25 meters per second

• 20 meters per second

How can you determine the acceleration from a distance vs. time graph?

• Acceleration is calculated by taking the average speed from the graph.

• Acceleration can be found by measuring the total distance traveled.

• Acceleration is determined by the area under the curve of the graph.

• Acceleration can be determined by analyzing the change in slope of the distance vs. time graph.

Give an example of real-life acceleration and explain its significance.

• A car accelerating from a stoplight.

• A person walking at a steady pace.

• A ball rolling down a hill without acceleration.

• A bicycle moving at a constant speed.