TP Describe motion in two dimension BELLWORK A

TP Describe motion in two dimension BELLWORK: A ball is thrown upwards at 12 m/s. The balls rises and fall back to same point. Calculate: (a) Maximum height reached (b) Time the ball is in the air

A girl standing at the top of a building 18 m high, throws a stone vertically upward at 8 ms-1. The stone travels upwards and eventually hits the bottom of the building. (a) How high above the building does it rise? (b) The total time the stone is in the air. (c) The velocity at which it hits the ground. (d) The total displacement of the stone.

A gun fired horizontally in space where gravity is negligible The bullet will continue moving in a straight line

A bullet fired on Earth( No air resistance)

A gun fired horizontally on earth, will (i) Move at constant speed horizontally (ii) Accelerate vertically. (iii) Bothe vertical and horizontal motion are completely independent Horizontal motion Gravity Vertical motion

Y-direction: constant acceleration g. Use the 5 Equations of motion Time for horizontal and vertical motion is the same. Horizontal motion Gravity Vertical motion

Range: The horizontal distance travelled = Horizontal velocity x time Example: A gun is fired horizontally at 400 m/s. (a) Calculate the range after 0. 27 seconds. (b) What is the vertical height falls during this time. !!!! Range:

Vertical Motion When fired horizontally: (i) Initial vertical speed u = 0 m/s (ii) acceleration, =9. 81 ms-2 Example: A gun is fired horizontally at 400 m/s. (a) Calculate the range after 0. 27 seconds. (b) What is the vertical height falls during this time. !!!! Range:

An object fired horizontal A boy at the top of a building 90 m high fires a bullet horizontally at 60 m/s; (a) Write down the vertical and horizontal velocity of the bullet immediately it is fired. (b) How long will it take the bullet to hit the bottom of the building. (c) What is the vertical impact velocity of the bullet. (d) Calculate the horizontal distance of the bullet

A rifle is held perfectly horizontally 1. 5 m over level ground. At the instant the trigger is pulled, a second bullet is dropped from the tip of the barrel. The muzzle velocity of the gun is 80 m/s. 1. Which bullet hits the ground first? 2. How fast is each bullet moving after 0. 3 s ?

Object Fired at an Angle Split the initial velocity vector into horizontal and vertical components. V=35 m/s v sin =35 sin 60 =30. 3 ms-1 600 v cos = 35 cos 60 =17. 5 ms-1 Try this: A ball is thrown at 400 to the horizontal at 12, s-1. Calculate; How high the ball rises. The horizontal distance travelled.

Object Fired at an Angle A ball is thrown at 400 to the horizontal at 12 ms-1. Calculate; (a) How high the ball rises. (b) The horizontal distance travelled. V=12 m/s 400

Object Fired at an Angle Mine City is 500 miles from a military base. If a rocket is fired from the military base at 450 to the horizontal and velocity of 6500 ms-1, will Mine city be in danger.