Respuesta :
Answer:
=1419.19 meters.
Explanation:
The time it takes for the shell to drop to the tanker from the height, H =1/2gt²
610m=1/2×9.8×t²
t²=(610m×2)/9.8m/s²
t²=124.49s²
t=11.16 s
Therefore, it takes 11.16 seconds for a free fall from a height of 610m
Range= Initial velocity×time taken to hit the tanker.
R=v₁t
Lets change 300 mph to kph.
=300×1.60934 =482.802 kph
Relative velocity=482.802 kph-25 kph
=457.802 kph
Lets change 11.16 seconds to hours.
=11.16/(3600)
=0.0031 hours.
R=v₁t
=457.802 kph × 0.0031 hours.
=1.41918 km
=1.41919 km × 1000m/km
=1419.19 meters.
Distance is a numerical representation of the distance between two objects or locations. The horizontal distance behind the tanker will be 1419.19 m.
What is the distance?
Distance is a numerical representation of the distance between two objects or locations. The distance can refer to a physical length or an estimate based on other factors in physics or common use.
The given data in the problem is ;
v₁ is the horizontal flying velocity = 300 m/h
H is the altitude = 610 m
v₂ is he cruise velocity= 25km/h
If t is the time taken the shell drops to the tanker from the height h is found by the formula;
[tex]\rm H =\frac{1}{2} gt^2 \\\\ \rm t=\sqrt{\frac{H}{2g} } \\\\ \rm t=\sqrt{2gh} \\\\ \rm t=\sqrt{2\times 610 \times 9.81} \\\\ \rm t=11.16 \sec[/tex]
The velocity of bomber obtained after unit conversion;
[tex]V_{12}=300\times 1.60 = 482.802[/tex]
Relative velocity is defined as the velocity of an object with respect to the other object.
Relative velocity=482.802 kph-25 kph=457.802 kph
In one hour there are 3600 seconds then the conversion is found by;
On changing 11.16 seconds to hours we found;
[tex](\frac{11.16}{3600} )=0.0031 \ hours.[/tex]
The range is the horizontal distance which is given by ;
Range= Initial velocity×time taken to hit the tanker.
[tex]\rm R= v \times t \\\\ \rm R= 457.8\times 0.0031\\\\ \rm R= 1.41918\ Km \\\\ \rm R=1419.19 m[/tex]
Hence the horizontal distance behind the tanker will be 1419.19 m.
To learn more about the distance refer to the link;
https://brainly.com/question/26711747
