If it is projected at an angle of 35o, It hits certain target. It will have the same range if it is projected at an angle of:
Correct answer: C. 55o
- A. 45o
- B. 65o
- C. 55o
- D. 70o
Explanation
In projectile motion, the range R is given by the formula R = (Vi2 sin(2θ))/g, where Vi is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity. For two angles to result in the same range, the product of sin(2θ) must be equal. This occurs when the angles are complementary, meaning they add up to 90°. For an angle of 35°, the complementary angle is 55° because 35° + 55° = 90°. Therefore, projecting at 55° will yield the same range as projecting at 35°.Option A (45°) is incorrect because while it yields the maximum range, it is not complementary to 35°. Option B (65°) and Option D (70°) are incorrect as they are not complementary to 35° and do not satisfy the condition of having the same range.
Last updated
About Force and Motion
Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.
Practise Force and Motion
1,416 free Force and Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
(1, 1, 1) . (2, 2, 2)
1st law of motion gives the definition of:
2nd law of motion measures which quantity?
7.0 kg bowling ball experience a net force of 5.0N. What will be its acceleration?
A 0.2 kg rubber ball is dropped from the window of a building. It strikes the sidewalk below at 30m/s and rebounds up at 20m/s. The impulse on the ball during the collision is: