Kinematics
A body is projected at $$t = 0$$ with a velocity $$10 ms^{1}$$ at an angle of $$60$$ with the horizontal.The radius of curvature of its trajectory at $$t = 1s$$ is $$R$$. Neglecting air resistance and taking acceleration due to gravity $$g = 10\,\, ms2$$, the value of $$R$$ is :
Kinematics
A plane is inclined at an angle $$\alpha = 30^o$$ with a respect to the horizontal. A particle is projected with a speed $$u = 2 ms^{-1}$$ from the base of the plane, making an angle $$\theta = 15^o$$ with respect to the plane as shown in the figure.The distance from the base, at which the particle hits the plane is close to :
(Take $$g = 10 ms^{-2}$$)
Kinematics
Two particles are projected from the same point with the same speed $$u$$ such that they have the same range $$R$$, but different maximum heights, $$h_1$$ and $$h_2$$. Which of the following is correct?
Kinematics
In a soccer practice session the ball is kept at the centre of the field $$40$$ yards from the $$10\ ft$$ high goal post . A goal is attempted by kicking the ball at a speed of $$64\ ft/s$$ at an angle of $$45^0$$ to the horizontal. Will the ball reach the goal post ?
Kinematics
Two projectiles A and B are projected with angle of projection $$15^0$$ for the projectile A and $$45^0$$ for the projectile B. If $$R_A$$ and $$R_B$$ be the horizontal range for the two projectiles, then
Kinematics
The range of a projectile fired at an angle of $$15^{o}$$ is $$50\ m$$. If it is fired with the same speed at an angle of $$45^{o}$$, its range will be
Kinematics
A body projected with velocity u at projection angle $$\theta$$ has horizontal displacement R. For the same velocity and projection angle, its range on the moon surface will be?
Kinematics
A projectile can have the same range R for two angles of projection $$\theta$$ and $$(90^o-\theta)$$. If $$t_1$$ and $$t_2$$ are the times of flight in the two cases then:
Kinematics
Two stones are projected with same velocity v at an angle $$\theta$$ and $$(90^o-\theta)$$. If H and $$H_1$$ are greatest heights in the two paths, what is the relation between R, H and $$H_1$$?
Kinematics
The range of projectile projected at an angle $$15^o$$ is $$10\sqrt{3}$$m. If it is fired with the same speed at angle of $$30^o$$, its range will be?