Respuesta :
The time taken by a truck to fully stop will be 2 hours. The time taken is found with the help of Newtons second equation of motion.
What is distance?
Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
The given data Is;
u is the velocity of truck = 55 mph
v is the final velocity of truck = 0 mph
S is the distance travelled by the truck before stop= 302 feet
1 feet = 0.000189394 mile
302 feet = 302 × 0.000189394 mile= 0.057197 mile
From the Newtons's second equation of motion;
[tex]\rm v^2 = u^2-2as[/tex]
The formula for the acceleration is found as;.
[tex]a = \frac{v-u}{t}[/tex]
By rearranging the equation, we get;
[tex]\rm u^2 =2as \\\\ u^2 =2[ \frac{v-u}{t}]s \\\\ u = \sqrt{2[ \frac{v-u}{t}]s} \\\\ 55 = \sqrt{2[ \frac{55-0}{t}]} \\\\ 55= \frac{2 \times 55}{t} \\\\ t= 2 \ hour[/tex]
Hence, the time taken by a truck to fully stop will be 2 hours.
To learn more about the distance, refer to the link;
https://brainly.com/question/26711747
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