1/5/2023 0 Comments Range of projectile![]() ![]() The magnitude of velocity at any instant is: By using the first equation of motion (V f = V i + at) the vertical component V fy of the velocity at any instant t is given by: The initial vertical component of the velocity is V sinθ in the upward direction. Hence, the horizontal component V x remains constant and at any time t, we have: The horizontal acceleration is ax = 0 because we have neglected air resistance and no other force is acting along with the direction resistance and no other force is acting along this direction whereas vertical acceleration a y = g. Suppose that a projectile is fired in a direction angle θ with the horizontal by velocity V along the horizontal and vertical components of velocity V along the horizontal and vertical directions be V cosθ and V sinθ respectively. In such cases, the motion of a projectile can be studied easily by resolving it into horizontal and vertical components that are independent of each other. A football kicked off by a player a ball thrown by a cricketer and a missile fired from a launching pad, all projected at some angles with the horizontal, are called projectiles. ![]() It is not necessary that an object should be thrown with some initial velocity in the horizontal direction. Since initial velocity is zero, hence, vertical distance y by using the second equation of motion is given by: This vertical motion is the same as for a freely falling body. It will accelerate downward under the force of gravity and hence a = g. The vertical motion of the ball is also not complicated. ![]()
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