Class work 1. A ball is kicked with an initial velocity if 40m/s from the ground at an angle of 30^0 to the horizontal. (Use g=10m/s^2 ) Calculate a) Horizontal and vertical component of initial velocity b) The vertical velocity after t=1s,2s,3s and 4s 2.1 KINEMATICS OF THE PARTICLE c) Position (overrightarrow (r)=xhat (i)+yhat (j)) after t=1s,2s,3s and 4s d) Time of flight (total time) e) maximum height f) Range of projectile 2. An air plane moving horizontally with velocity of 500km/hr at a height of 2km above the ground dropped a bomb when it directly above the target. By how much distance will the bomb miss the target? 3. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0m if her initial speed is 3.00m/s . What is the free -fall acceleration on the planet? 25

Question

Class work 1. A ball is kicked with an initial velocity if 40m/s from the ground at an angle of 30^0 to the horizontal. (Use g=10m/s^2 ) Calculate a) Horizontal and vertical component of initial velocity b) The vertical velocity after t=1s,2s,3s and 4s 2.1 KINEMATICS OF THE PARTICLE c) Position (overrightarrow (r)=xhat (i)+yhat (j)) after t=1s,2s,3s and 4s d) Time of flight (total time) e) maximum height f) Range of projectile 2. An air plane moving horizontally with velocity of 500km/hr at a height of 2km above the ground dropped a bomb when it directly above the target. By how much distance will the bomb miss the target? 3. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0m if her initial speed is 3.00m/s . What is the free -fall acceleration on the planet? 25

Answer 1

1. a) The horizontal and vertical components of the initial velocity can be calculated using the equations:

where

is the initial velocity,

is the angle of projection, and

and

are the horizontal and vertical components of the velocity, respectively.Given that

and

, we can calculate:

b) The vertical velocity after

seconds can be calculated using the equation:

where

is the initial vertical velocity,

is the acceleration due to gravity, and

is the time.Given that

,

, and

, we can calculate:For

:

For

:

For

:

For

:

2. c) The position of the projectile after

seconds can be calculated using the equations:

where

and

are the horizontal and vertical positions, respectively.Given that

,

, and

, we can calculate:For

:

For

:

For

:

For

:

d) The time of flight can be calculated using the equation:

Given that

and

, we can calculate:

e) The maximum height can be calculated using the equation:

Given that

and

, we can calculate:

f) The range of the projectile can be calculated using the equation:$R

Question

Solution

Resposta