If a projectile is fired at an angle of 35° it hit a certain target. It will have the same range if it is thrown at an angle of : a) 45° b)55° c)10° d)70°
Answers
Hii mate u know that range of complementary angle is same
Answer:
Answer:d) 70°
Explanation:
To solve this question, we must know about Projectile Motion and more specifically about the Range of Projectile.
1. Projectile Motion is the motion of an object/particle that is moving in a curved path under the action of gravity.
2. The Range of Projectile means the displacement of the particle/object in horizontal direction after it hits the ground.
The formula for Range (R) is
R = (u²sin2a)/g or (u²sina cosa)/g , where u is the initial velocity of the particle, g is acceleration due to gravity and a is the angle of projection.
As stated in the question, the projectile when fired at an angle of 35° hits a certain target, let us assume that the range of Projectile was n metres. Now we need to figure out when will it have the exactly similar range when it is fired at a different angle.
For a = 35°
R = (u² sin35° cos35°)/g = n metres
As we know, for similar values of the angle, sin and cos functions are exactly opposite to each other, which means, sin35° = cos70° and cos35° = sin70°
So for the value of 70° the range of the projectile would be the same as it were for 35°>.
Mathematically, Range for a = 70°
R = (u² sin70° cos70°)/g = (u² sin35° cos35°)/g = n metres
Hence the Range is Same when thrown at an angle of 70°.
Learn more about Projectile Motion
https://brainly.in/question/208506
Learn more about Range of Projectile
https://brainly.in/question/13699352