{"id":6872,"date":"2024-04-15T02:35:26","date_gmt":"2024-04-15T02:35:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6872"},"modified":"2024-04-15T02:35:26","modified_gmt":"2024-04-15T02:35:26","slug":"a-stone-is-thrown-up-a-slope-of-inclination-60a-to-the-horizontal-at-what-angle-to-the-slope-must-the-stone-be-thrown-so-as-to-land-as-far-as-possible-from-the-point-of-projection-a-15a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-stone-is-thrown-up-a-slope-of-inclination-60a-to-the-horizontal-at-what-angle-to-the-slope-must-the-stone-be-thrown-so-as-to-land-as-far-as-possible-from-the-point-of-projection-a-15a\/","title":{"rendered":"A stone is thrown up a slope of inclination 60\u00c2\u00b0 to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ? A. 15\u00c2\u00b0 B. 30\u00c2\u00b0 C. 45\u00c2\u00b0 D. 75\u00c2\u00b0"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6ab31b32de128\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    15\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    30\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    45\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    75\u00c2\u00b0                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{C}}$.<\/p>\n<p>To maximize the range of a projectile, it must be thrown at an angle of 45 degrees to the horizontal. This is because the horizontal component of the velocity of the projectile will remain constant throughout its flight, while the vertical component will decrease due to gravity. The maximum range is achieved when the vertical component of the velocity of the projectile is zero at the point of impact. This occurs when the projectile is thrown at an angle of 45 degrees to the horizontal.<\/p>\n<p>In the case of the stone being thrown up a slope of inclination 60\u00c2\u00b0 to the horizontal, the angle at which the <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n              <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>   <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> stone must be thrown to land as far as possible from the point of projection is also 45 degrees to the horizontal. This is because the slope does not affect the horizontal component of the velocity of the projectile. The only effect of the slope is to increase the vertical component of the velocity of the projectile, which will cause the stone to land at a higher point on the slope. However, this will not affect the range of the projectile.<\/p>\n<p>The other options are incorrect because they are not the angles at which the stone must be thrown to land as far as possible from the point of projection.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A stone is thrown up a slope of inclination 60\u00c2\u00b0 to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ? 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