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A car starts from rest and accelerates uniformly at 5 m/s² for 8 seconds. Calculate the distance it travels.

April 12, 2026Physics

ScanSolve AI Answer

Answer

B

Step-by-step solution

4 steps

Identify the given values.
The car starts from rest, so the initial velocity is $u = 0 \text{ m/s}$ .
The acceleration is $a = 5 \text{ m/s}^2$ .
The time is $t = 8 \text{ s}$ .
Apply the kinematic equation for distance travelled.
The formula relating initial velocity, acceleration, time, and distance is:
$s = ut + \frac{1}{2}at^2$
Substitute the values into the formula.
$s = (0 \text{ m/s})(8 \text{ s}) + \frac{1}{2}(5 \text{ m/s}^2)(8 \text{ s})^2$
Calculate the terms.
$s = 0 + \frac{1}{2}(5 \text{ m/s}^2)(64 \text{ s}^2)$ $s = \frac{1}{2}(320 \text{ m})$ $s = 160 \text{ m}$
The total distance travelled is $160 \text{ m}$ .

Comparing this with the given options:
A. 40 m
B. 160 m
C. 200 m
D. 320 m

The correct option is B.

The final answer is $\boxed{\text{B. 160 m}}$ .

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