Projectiles with the same speed at complementary angles (same range): heights, times or range
This type of question, asked 7 times: 2021 Paper 24, 25 Jun 2022, 25 Jan 2023, 31 Jan 2023, 29 Jan 2025, 7 Apr 2025, 8 Apr 2026 S2. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 24
5The ranges and heights for two projectiles projected with the same initial velocity at angles and with the horizontal are and , respectively. Choose the correct option :Tap an option to check your answer.
Question 2
25 Jun 2022
91Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Two identical balls A and B thrown with same velocity ' ' at two different angles with horizontal attained the same range . If and reached the maximum height and respectively, then Reason R: Product of said heights.Choose the CORRECT answer:Tap an option to check your answer.
Question 3
25 Jan 2023
104Two objects are projected with same velocity 'u' however at different angles and with the horizontal. If , the ratio of horizontal range of the first object to the 2 nd object will be:Tap an option to check your answer.
Question 4
31 Jan 2023
112Two bodies are projected from ground with same speeds at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of , with horizontal then sum of the maximum heights, attained by the two projectiles, is____ m. (Given )Question 5
29 Jan 2025
2Two projectiles are fired with same initial speed from same point on ground at angles of and , respectively, with the horizontal direction. The ratio of their maximum heights attained is :Tap an option to check your answer.
Question 6
7 Apr 2025
12Two projectiles are fired from ground with same initial speeds from same point at angles and with horizontal direction. The ratio of their times of flights is.Tap an option to check your answer.
Question 7
8 Apr 2026 S2
6Two identical bodies projected with the same speed at two different angles cover the same horizontal range R . If the time of flight of these bodies are 5 s and 10 s , respectively, then the value of is m. (Take )Tap an option to check your answer.