This page covers Agniveer (All) Motion in a Plane with complete concept notes, 18 graded practice MCQs, key points and exam-specific tips. Free to study.
A projectile is launched at 30° to the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile? (Take g = 10 m/s²)
Practice 2easy
A stone is thrown horizontally from a cliff with a velocity of 15 m/s. After 2 seconds, what is the vertical component of its velocity? (Take g = 10 m/s²)
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A projectile has a range of 40 m on level ground when launched at 45°. If the same projectile is launched at 45° with double the initial velocity, what will be its new range?
Practice 4easy
A particle undergoes uniform circular motion with radius 5 m and completes 2 revolutions in 4 seconds. What is its centripetal acceleration?
Practice 5easy
A projectile is fired at an angle of 60° with an initial speed of 30 m/s. What is the time of flight? (Take g = 10 m/s²)
Practice 6medium
A projectile is launched at an angle of 30° with the horizontal from ground level. If the initial velocity is 20 m/s, what is the maximum height reached? (g = 10 m/s²)
Practice 7medium
An object undergoes uniform circular motion with a radius of 4 m and completes one full circle in 8 seconds. What is its centripetal acceleration?
Practice 8medium
A projectile launched horizontally from a height of 45 m with initial velocity 30 m/s hits the ground. What is the range? (g = 10 m/s²)
Practice 9medium
Two stones are thrown from the same point with the same speed but at angles of 30° and 60° above the horizontal. What is the ratio of their maximum heights?
Practice 10medium
A particle moves in a circular path of radius 5 m with a constant speed of 10 m/s. What is the period of revolution?
Practice 11medium
A projectile is launched at 45° to the horizontal with initial velocity 20 m/s. What is the range on level ground? (g = 10 m/s²)
Practice 12medium
In uniform circular motion, which of the following statements is true?
Practice 13medium
A ball is thrown at an angle of 60° with initial speed 40 m/s. What is the time of flight? (g = 10 m/s²)
Practice 14medium
A particle in uniform circular motion has angular velocity ω = 2 rad/s and radius r = 3 m. What is its linear speed?
Practice 15hard
A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 40 m/s. Calculate the maximum height reached by the projectile. (Take g = 10 m/s²)
Practice 16hard
A particle moves in a circular path of radius 5 m with a constant speed of 10 m/s. What is the magnitude of centripetal acceleration?
Practice 17hard
A projectile is thrown horizontally from a cliff of height 45 m with an initial velocity of 20 m/s. How far horizontally will it travel before hitting the ground? (Take g = 10 m/s²)
Practice 18hard
A particle undergoes uniform circular motion with angular velocity ω = 4 rad/s in a circle of radius 2 m. What is the relationship between linear velocity and centripetal acceleration at any instant?