Question:

At the maximum height of a projectile, the velocity and acceleration are

Updated On: Jul 6, 2022
  • parallel to each other
  • antiparallel to each other
  • perpendicular to each other
  • inclined to each other at $45^\circ$
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The Correct Option is C

Solution and Explanation

At maximum height ; $v _{ x }= v _{ x } \cos \theta$ in horizontal direction and $v _{ y }=0$ $ a _{ x }=0, a _{ y }=- g $ Clearly angle between them is $90^{\circ}$.
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration