Question

If a car starts from rest and moved with a uniform acceleration of 10m/s² for 10 seconds, what is the distance?

Answer 1

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

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

where:

• $s$ is the distance traveled
• $u$ is the initial velocity (which is 0 m/s since the car starts from rest)
• $a$ is the uniform acceleration (10 m/s²)
• $t$ is the time taken (10 seconds)

Plugging in the values into the equation:

$s=0\cdot 10+\frac{1}{2}\cdot 10\cdot (10{)}^2$

Simplifying:

$s=0+\frac{1}{2}\cdot 10\cdot 100$

s=12⋅1000s = frac{1}{2} cdot 1000s=21</s