Physics

Physics

Problem

A ball is thrown with a speed of 12 m s−112\,\text{m s}^{-1} at an angle of 60∘60^{\circ} above the horizontal. Calculate the time taken by the ball to reach its maximum height.\nTake g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.
Intuitive explanation

The key to projectile motion is recognizing that horizontal and vertical motion are independent—only the vertical component of velocity matters for reaching maximum height. At the peak, the vertical velocity becomes zero, so you just need to find how long it takes for gravity to slow the upward motion to a stop using the vertical component of your initial velocity.

Intuitive explanation

The key to projectile motion is recognizing that horizontal and vertical motion are independent—only the vertical component of velocity matters for reaching maximum height. At the peak, the vertical velocity becomes zero, so you just need to find how long it takes for gravity to slow the upward motion to a stop using the vertical component of your initial velocity.

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