Measure your Speed

The formula for velocity is $v = \frac{xf - xi}{tf - ti}$.

The formula for acceleration is $a = \frac{vf - vi}{tf - ti}$.

The acceleration due to gravity is $-9.8$ meters per second squared.

<p>The definition of velocity is simply change in x over the change in t, where x is its position and t is equal to the time.</p> Signup and view all the answers

<p>The formula for calculating velocity is delta x over delta t, where delta x represents the change in position and delta t represents the change in time.</p> Signup and view all the answers

<p>To calculate Usain Bolt's velocity in the 100 meter dash, you would use the formula delta x over delta t, where delta x is 100 meters and delta t is 9.58 seconds.</p> Signup and view all the answers

<p>Speed is a scalar quantity that refers to how fast an object is moving, while velocity is a vector quantity that refers to both the speed and direction of an object's motion.</p> Signup and view all the answers

<p>In the back of his head, Mr. Andersen converts meters per second to miles per hour by using the approximate conversion of 1 meter per second equals 2.2 miles per hour.</p> Signup and view all the answers

<p>Scalar quantities in physics are quantities that have only magnitude, while vector quantities have both magnitude and direction.</p> Signup and view all the answers

<p>Acceleration is defined as the change in velocity over the change in time, so the formula is $a = \frac{v_f - v_i}{t_f - t_i}.</p> Signup and view all the answers

<p>To convert miles per hour to meters per second, you divide the value in miles per hour by 2.237, so the formula is $v_{\text{m/s}} = \frac{v_{\text{mph}}}{2.237}.</p> Signup and view all the answers

<p>The acceleration is calculated using the formula $a = \frac{v_f - v_i}{t_f - t_i}$, where $v_f = 60 \text{ mph}$, $v_i = 0 \text{ mph}$, $t_f = 2.46 \text{ s}$, and $t_i = 0 \text{ s}$. Therefore, $a = \frac{60 - 0}{2.46 - 0} = 24.39 \text{ mph/s}.</p> Signup and view all the answers

<p>The final velocity is $60 \text{ mph}$, which needs to be converted to meters per second. Using the conversion formula $v_{\text{m/s}} = \frac{v_{\text{mph}}}{2.237}$, the final velocity is $26.86 \text{ m/s}.</p> Signup and view all the answers

<p>The final time is $2.46 \text{ s}$, as it starts from a standstill.</p> Signup and view all the answers

<p>The acceleration due to gravity is approximately $9.8 \text{ m/s}^2$, or $32.2 \text{ ft/s}^2$.</p> Signup and view all the answers