Two projectiles are fired at different angles with the same magnitude of velocity such that they have the same range. At what angles they might have been projected?
Correct answer: C. 25o and 65o
- A. 35o and 75o
- B. 10o and 50o
- C. 25o and 65o
- D. None of the above
Explanation
For two projectiles fired at the same speed, complementary angles (those that add up to 90 degrees) will result in the same range. This is due to the symmetry of the sine function in the range equation: R = (v2 * sin(2θ)) / g. Only the angles 25o and 65o are complementary, thus they will have the same range. Options A and B do not sum to 90 degrees, and therefore do not meet the criteria for having the same range. Option D is incorrect because there is a valid answer in option C.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Force and Motion questions
A 7.0 kg bowling ball experience a net force of 5.0N. What will be its acceleration?
Two balls are projected at 30o and 60o with same initial velocities. The ratio of their maximum height is
The distance travelled by a body is proportional to the square of time. The body is moving with
A train takes 1 hour to go from one station to the other. It travels at a speed of 30kmh-1 for first half hour and at a speed of 50 kmh-1 for the next half hour. The average speed of the train is:
If a projectile is thrown with 19.6m/s velocity at 30o with x-axis, time taken to reach highest point?
The distance travelled is given by: