Question

1.Write the equations of motion in three dimensions.
2.Give examples of motion in two dimensions and in three dimensions
1. A projectile is fired at an angle of 45 degree with the horizontal with a speed of 500 m/s. Find the vertical and horizontal components of its velocity
2. A boy throws a ball horizontally from the top of a building. The initial speed of the ball is 20m/s. Find the horizontal and vertical velocity of the ball after 3 s.
1. An object is whirled at the end of a string in a horizontal circle. If the period of one revolution is 1.18 s and the length of the string is 0.93 m, find the centripetal acceleration of the object.
2. In the previous problem, find the velocity of the object at the end of the string.

Answer 1

Answer:

1.In three dimensions, acceleration →a(t) can be written as a vector sum of the one-dimensional accelerations ax(t), ay(t), and az (t) along the x-, y-, and z-axes. The kinematic equations for constant acceleration can be written as the vector sum of the constant acceleration equations in the x, y, and z directions.

2.Motion in two and three dimension - law

Projectile and circular motion are examples of two dimensional motion. Motion in three dimension: Motion in space which incorporates all the X, Y and Z axis is called three dimensional motion. Example: Movement of gyroscope is an example of three dimensional motion.

Explanation:

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