Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 of 5 view policies current attempt in progress a sports car …

Question

question 5 of 5 view policies current attempt in progress a sports car starts from rest. after 10.0 s, the speed of the car is 25.0 m/s. what is the magnitude of the car’s acceleration?
○ 2.50 m/s²
○ 25.0 m/s²
○ 5.00 m/s²
○ 250 m/s²
○ 10.0 m/s²

Explanation:

Step1: Recall acceleration formula

Acceleration \( a = \frac{\Delta v}{\Delta t} \), where \( \Delta v \) is change in velocity, \( \Delta t \) is time.

Step2: Determine initial and final velocity

Initial velocity \( v_0 = 0 \, \text{m/s} \) (starts from rest), final velocity \( v = 25.0 \, \text{m/s} \), time \( t = 10.0 \, \text{s} \).

Step3: Calculate change in velocity

\( \Delta v = v - v_0 = 25.0 - 0 = 25.0 \, \text{m/s} \).

Step4: Compute acceleration

\( a = \frac{25.0}{10.0} = 2.50 \, \text{m/s}^2 \).

Answer:

2.50 m/s²