11 A bullet travelling at $$ 2 imes 10^{3} \mathrm{~km} \mathrm{~h}^{-1} $$ hits a target 500 m away. Find the time of the bullet's flight, in seconds.

Question

11 A bullet travelling at $$ 2 	imes 10^{3} \mathrm{~km} \mathrm{~h}^{-1} $$ hits a target 500 m away. Find the time of the bullet's flight, in seconds.

UpStudy AI · Accepted Answer

To find the time of the bullet's flight, we can use the formula for time, which is given by:

$$ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $$

Given:
- Distance to the target = 500 m
- Speed of the bullet = $$ 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} $$

First, we need to convert the speed from kilometers per hour to meters per second.

1 kilometer = 1000 meters
1 hour = 3600 seconds

Therefore, the speed in meters per second is:
$$ 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} = 2 \times 10^{3} \times \frac{1000}{3600} \mathrm{~m} \mathrm{~s}^{-1} $$

Now, we can calculate the time of the bullet's flight using the formula.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{500}{\left(\frac{2\times 10^{3}\times 1000}{3600}\right)}$$
- step1: Remove the parentheses:
  $$\frac{500}{\frac{2\times 10^{3}\times 1000}{3600}}$$
- step2: Reduce the fraction:
  $$\frac{500}{\frac{5000}{9}}$$
- step3: Multiply by the reciprocal:
  $$500\times \frac{9}{5000}$$
- step4: Reduce the numbers:
  $$1\times \frac{9}{10}$$
- step5: Multiply:
  $$\frac{9}{10}$$
The time of the bullet's flight is approximately 0.9 seconds.
The bullet's flight time is approximately 0.9 seconds.

11 A bullet travelling at \( 2 \times 10^{3} \mathrm{~km} \mathrm{~h}^{-1} \) hits a target 500 m away. Find the time of the bullet's flight, in seconds.

Solución de tutoría real

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Physics Questions