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The Acceleration Challenge

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Questions and Answers

What is the equation for displacement?

Displacement equals one half times our initial and final velocities added together, multiplied by the time.

What is the equation for stopping distance?

Stopping distance equals one half times the initial velocity squared, divided by the rate of deceleration.

What is the equation for constant acceleration on a velocity-time graph?

The slope of the line on a velocity-time graph represents constant acceleration.

What does a positive slope on a velocity-time graph indicate?

A positive slope indicates constant acceleration in the positive direction. Signup and view all the answers

How can the magnitude and direction of acceleration be determined on a velocity-time graph?

The magnitude and direction of acceleration can be determined by looking at the slope of the line on a velocity-time graph. Signup and view all the answers

What is the definition of acceleration in physics?

Acceleration is defined as the rate of change of velocity over time. Signup and view all the answers

What is the SI unit for acceleration?

The SI unit for acceleration is meters per second squared. Signup and view all the answers

What is the formula for finding acceleration?

The formula for finding acceleration is acceleration = (final velocity - initial velocity) / time. Signup and view all the answers

How do you calculate acceleration in this example?

In this example, the acceleration is calculated as 7 meters per second squared by subtracting the initial velocity (0 m/s) from the final velocity (10.5 m/s) and dividing by the time taken (1.5 seconds). Signup and view all the answers

Does acceleration depend on the direction of motion?

Yes, acceleration is a vector quantity, so it has both magnitude and direction. The direction of acceleration depends on the sign of the initial and final velocities. Signup and view all the answers

What is kinematics?

Kinematics is the science of describing the motion of an object. Signup and view all the answers

What are the four main kinematic equations?

The four main kinematic equations are: 1) $v_f = v_i + at$, 2) $d = \frac{1}{2}(v_i + v_f)t$, 3) $d = v_it + \frac{1}{2}at^2$, and 4) $v_f^2 = v_i^2 + 2ad$. Signup and view all the answers

What is the first kinematic equation?

The first kinematic equation is $v_f = v_i + at$. Signup and view all the answers

What is the second kinematic equation?

The second kinematic equation is $d = \frac{1}{2}(v_i + v_f)t$. Signup and view all the answers

What is the third kinematic equation?

The third kinematic equation is $d = v_it + \frac{1}{2}at^2$. Signup and view all the answers

What is the fourth kinematic equation?

The fourth kinematic equation is $v_f^2 = v_i^2 + 2ad$. Signup and view all the answers