Mixed Velocity and Acceleration Problems

Front

What is acceleration?

Back

Acceleration is the rate of change of velocity of an object with respect to time. It is measured in meters per second squared (m/s²).

Front

How do you calculate final velocity with constant acceleration?

Back

Final velocity (v) can be calculated using the formula: v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.

Front

What is the formula to calculate distance traveled under constant acceleration?

Back

Distance (s) can be calculated using the formula: s = ut + (1/2)at², where u is the initial velocity, a is the acceleration, and t is the time.

Front

What does it mean if acceleration is negative?

Back

Negative acceleration, also known as deceleration, indicates that an object is slowing down.

Front

If a rocket accelerates at 90 m/s², how long will it take to reach a speed of 2430 m/s?

Back

It will take 27 seconds.

Front

How do you find acceleration if you know the initial and final velocities and the distance traveled?

Back

You can use the formula: a = (v² - u²) / (2s), where v is the final velocity, u is the initial velocity, and s is the distance.

Front

What is the significance of the initial velocity in motion equations?

Back

The initial velocity (u) is the speed of the object at the start of the time interval being considered, and it affects the final velocity and distance traveled.

Front

How do you determine the acceleration of an object that slows down?

Back

Acceleration can be calculated as a negative value, indicating a decrease in speed. For example, if a car slows from 35 m/s to 31 m/s in 3 seconds, the acceleration is -1.33 m/s².

Front

What is the relationship between distance, speed, and time?

Back

Distance can be calculated using the formula: distance = speed × time.

Front

What is uniform acceleration?

Back

Uniform acceleration occurs when an object's acceleration is constant over time.