Question:

A car is initially at rest and accelerates uniformly from rest to a velocity of 20 m/s in 10 seconds. Calculate the acceleration of the car.

A) 1 m/s² B) 2 m/s² C) 10 m/s² D) 20 m/s²

Answer:

The acceleration of an object can be calculated using the formula:

$a\; =\; \backslash dfrac\{v\; -\; u\}\{t\}$

where:

$a$ is the acceleration, $v$ is the final velocity, $u$ is the initial velocity, and $t$ is the time taken.

Given: $u\; =\; 0\; ,\; \backslash text\{m/s\}$ (initial velocity) $v\; =\; 20\; ,\; \backslash text\{m/s\}$ (final velocity) $t\; =\; 10\; ,\; \backslash text\{s\}$ (time taken)

Plugging the values into the formula:

$a\; =\; \backslash dfrac\{20\; -\; 0\}\{10\}$

Simplifying,

$a\; =\; 2\; ,\; \backslash text\{m/s²\}$

Therefore, the correct answer is B) 2 m/s².