Projectile motion for JEE Main: Strategy, Formulas & Solved Problems
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Projectile Motion for JEE Main: Strategy, Formulas & Solved Problems
Projectile motion is a fundamental concept in physics that deals with the study of objects under the influence of gravity. This article will explore the strategy, formulas, and solved problems related to projectile motion.
#What is Projectile Motion?
Projectile motion refers to the motion of an object under the influence of gravity, where the object is projected at an angle from a fixed point. The trajectory of the object can be described using various mathematical formulas.
#Formulas for Projectile Motion
The following are some important formulas used in projectile motion:
* Range (R) = v0 \* sin(2θ)
* Maximum Height (H) = (v0^2 \* sin^2(θ)) / (2g)
* Time of Flight (T) = 2 \* H / g
where v0 is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity.
#Solved Problems
Here are some solved problems related to projectile motion:
1. A ball is thrown at an angle of 45° from a height of 20 meters. If the initial velocity is 25 m/s, find the range and maximum height of the ball.
2. A cannonball is fired at an angle of 30° with an initial velocity of 50 m/s. Find the time of flight and the maximum height reached by the cannonball.
#Conclusion
Projectile motion is a fundamental concept in physics that has many practical applications. By understanding the formulas and strategies involved, we can solve problems related to projectile motion and gain insights into the behavior of objects under the influence of gravity.