A car starts from rest and after 6 seconds it is moving at 42 m/s. What is the car's average accelerat A. 6 m/s2 B. 7 m/s2 C. 12 m/s2 D. 14 m/s2 E. 21 m/s2
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![**Question 31**
A car starts from rest and after 6 seconds it is moving at 42 m/s. What is the car's average acceleration?
- A. 6 m/s²
- B. 7 m/s²
- C. 12 m/s²
- D. 14 m/s²
- E. 21 m/s²
**Explanation:**
To find the car's average acceleration, use the formula:
\[ a = \frac{v_f - v_i}{t} \]
where:
- \( v_f \) is the final velocity (42 m/s)
- \( v_i \) is the initial velocity (0 m/s, since it starts from rest)
- \( t \) is the time (6 seconds)
Substitute the values into the formula:
\[ a = \frac{42 \, \text{m/s} - 0 \, \text{m/s}}{6 \, \text{s}} = \frac{42}{6} = 7 \, \text{m/s}^2 \]
Thus, the correct answer is B. 7 m/s².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1ba6bbb-fc76-4ff1-897e-f936bd2be4a6%2F21cb0615-514f-4d5d-87d9-9cb42f2bc5ae%2Fc79sn4a_processed.jpeg&w=3840&q=75)
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