Ten questions. The result tells you which lessons you may skip.
A body moves from the point \((2, 1)\,\text{m}\) to the point \((5, 5)\,\text{m}\). The magnitude of its displacement is
A body moves along a curved path. At any instant, the direction of its velocity is
A body moves at constant speed along a curved path. Its acceleration is
One ball is dropped and another is thrown horizontally from the same height at the same instant. Air resistance is neglected. Which lands first?
During the flight of a projectile, the horizontal component of its velocity
At the highest point of a projectile's path, the velocity is
A projectile is launched at \(20\,\text{m/s}\) at \(30°\) above the horizontal. Take \(g = 10\,\text{m/s}^2\). Its time of flight is
For a given launch speed on level ground, the range is greatest for an angle of projection of
Two projectiles are launched with the same speed at \(30°\) and \(60°\). Which statement is correct?
The equation of the trajectory of a projectile, \(y = x\tan\theta - \dfrac{g x^2}{2u^2\cos^2\theta}\), shows that the path is
A particle starts with velocity \(\vec u = 4\hat i\,\text{m/s}\) and has a constant acceleration \(\vec a = 3\hat j\,\text{m/s}^2\). Its speed at \(t = 1\,\text{s}\) is
Three balls are thrown from a cliff at the same speed, one aimed up, one level and one down. Which lands first?
A projectile moves along \(y = x\,(1 - x/40)\), in metres. Its highest point is at
A projectile moves along \(y = \sqrt3\,x - 5x^2\), in metres, with \(g = 10\,\text{m/s}^2\). Its angle of projection is
For a shell that flies tens of kilometres, the parabola is a poor model because