Question

A car is moving with the velocity of 8m/s and accelerates uniformly at 2 m/s2 for 10 seconds. What is the distance travelled by the car?

Answer 1

To calculate the distance traveled by the car, we can use the equation:

$s=ut+\frac{1}{2}a{t}^2$

Where:

• $s$ is the distance traveled
• $u$ is the initial velocity
• $t$ is the time
• $a$ is the acceleration

Given: $u=8\text{m/s}$ $a=2{\text{m/s}}^2$ $t=10\text{s}$

Substituting these values into the equation, we get:

$s=(8\text{m/s})(10\text{s})+\frac{1}{2}(2{\text{m/s}}^2)(10\text{s}{)}^2$

Calculating this equation gives us:

s=80 m+12(2 m/s2)(100 </mtext