The other option is "Radian Mode", which is commonly used in math courses like algebra 2, precalculus, and calculus. Since we were given our angle in degrees, we need to put the calculator in "Degree Mode" before entering the numbers in. Note: When doing calculations with SIN and COS, make sure that the calculator is in the correct angle mode. Together, these make the total initial velocity 1290 feet/sec in the up/sideways direction of 8 degrees. A shot fired from a gun with a muzzle velocity of 1200 1200 1200 feet per second is to hit a target 3000 3000 3000 feet away. A sharpshooter intends to hit a target at a distance of 1000 yards with a gun that has a muzzle velocity of 1200 feet per second. Remember, we found the vertical component of the velocity was 179.5 feet/sec. This means that the bullet is traveling with a speed of 1277 feet/sec in the sideways direction. The horizontal component of the velocity is 1277.4 feet/sec. The CAH in the acronym SOHCAHTOA tells us that taking the cosine of any angle in a right triangle equals the adjacent side (next to the chosen angle) divided by the hypotenuse: The length of the horizontal line can be found similarly. This means that the bullet is traveling with a speed of 179 feet/sec in the up direction. So the vertical component of the velocity is 179.5 feet/sec. The SOH in the acronym SOHCAHTOA reminds us that taking the sine of any angle on a right triangle is equal to the opposite side (side directly across from the chosen angle) divided by the hypotenuse: Using trigonometry, we can find the length of the vertical line (vertical component of the velocity). These three lines together form a right triangle. This line is called a vector, because it has both a magnitude (1290 feet/sec) and direction (8 degrees above horizontal).Ī vector can be split into components by drawing a second horizontal line and a third vertical line connecting the vector's tip to tail. away from the gun have a distance of 30,000 ft from the gun the moment the. The gun and the target are both on level ground, with target moving 60 mph. Since the gun was pointed upwards 8 degrees, the line shouldn't be horizontal, but rather upward at an 8 degree angle. The bullet has a muzzle velocity of 1200. How high above the target must the rifle barrel be pointed to ensure that the bullet will hit the target (Negle A bullet fired from a gun vertically upward with a muzzle velocity of 500 m per s. The length of the line on the paper isn't important, as long as we label it 1290 feet/sec. A rifle with a muzzle velocity of 480 m/s shoots a bullet at a target 45.6 meters away. The gun was fired at 1290 feet/sec so, to begin, let's draw a line showing this initial velocity.
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