Question

now try on your own showing all work and correct units (like in above examples). complete these problems on the back side of your graphic organizer in pencil. place the answers only below: 1. a ball rolls down a ramp for 15 seconds. if the initial velocity of the ball was 0.8 m/sec and the final velocity was 7 m/sec, what was the acceleration of the ball? 2. a meteoroid changed velocity from 1.0 km/s to 1.8 km/s in 0.03 seconds. what is the acceleration of the meteoroid? 3. a car going 50mph accelerates to pass a truck. five seconds later the car is going 80mph. calculate the acceleration of the car.

Explanation:

1.

Step1: Identify the acceleration formula

The formula for acceleration is $a=\frac{v_f - v_i}{t}$, where $v_f$ is the final - velocity, $v_i$ is the initial - velocity, and $t$ is the time.
Given $v_i = 0.8\ m/s$, $v_f=7\ m/s$, and $t = 15\ s$.

Step2: Substitute the values into the formula

$a=\frac{7 - 0.8}{15}=\frac{6.2}{15}\approx0.413\ m/s^{2}$

Step1: Identify the acceleration formula

The formula for acceleration is $a=\frac{v_f - v_i}{t}$, where $v_f$ is the final - velocity, $v_i$ is the initial - velocity, and $t$ is the time.
Given $v_i = 1.0\ km/s$, $v_f = 1.8\ km/s$, and $t=0.03\ s$.

Step2: Substitute the values into the formula

$a=\frac{1.8 - 1.0}{0.03}=\frac{0.8}{0.03}=\frac{80}{3}\approx26.67\ km/s^{2}$

Step1: Convert speeds to SI units

First, convert $50\ mph$ and $80\ mph$ to $m/s$.
$1\ mph=\frac{1609.34}{3600}\ m/s\approx0.447\ m/s$.
$v_i = 50\ mph=50\times0.447 = 22.35\ m/s$, $v_f = 80\ mph=80\times0.447 = 35.76\ m/s$, and $t = 5\ s$.

Step2: Use the acceleration formula

$a=\frac{v_f - v_i}{t}=\frac{35.76 - 22.35}{5}=\frac{13.41}{5}=2.682\ m/s^{2}$

Answer:

$0.413\ m/s^{2}$

2.