Question

1. directions

drag and drop the correct answer choice to each answer blank.
a speed boat accelerates from 10 meters per second to 25 meters per second over a period of 10 seconds. what is the boat’s acceleration?
options: 1.5, 75, 8, 175, m, s, \\(\frac{m}{s}\\), \\(\frac{m}{s^2}\\)
drag the number answer into the first blank, and then the correct units into the second blank.
clear all

Explanation:

Step1: Recall acceleration formula

Acceleration \( a \) is given by the formula \( a = \frac{v_f - v_i}{t} \), where \( v_f \) is final velocity, \( v_i \) is initial velocity, and \( t \) is time.

Step2: Identify values

Here, \( v_i = 10 \, \frac{m}{s} \), \( v_f = 25 \, \frac{m}{s} \), \( t = 10 \, s \).

Step3: Calculate acceleration

Substitute values into the formula: \( a = \frac{25 - 10}{10} = \frac{15}{10} = 1.5 \).

Step4: Determine units

The units of acceleration are \( \frac{m}{s^2} \) (meters per second squared), since it's change in velocity (units \( \frac{m}{s} \)) divided by time (units \( s \)).

Answer:

First blank: \( 1.5 \), Second blank: \( \frac{m}{s^2} \)