Physics Kinematics Level: High School
Relative Velocity
Consider a antelope being chased by a tiger . The antelope is running at a velocity of 6.91 m/s at an angle 14.7 degrees E of S . The tiger is running at a velocity of 10.91 m/s at an angle of 30 degrees W of S .(Use East as positive x and North as positive y)a) What are the x and y component of the antelope’s velocity with respect to the ground ?
b) What are the x and y component of the tiger’s velocity with respect to the ground ?
c) What are the x and y component of the velocity of the tiger with respect to the antelope ?
d) What is the magnitude of the velocity of the tiger with respect to the antelope ?
e) If the tiger and the antelope are 126 m apart ,how long will it take the tiger to catch the antelope ?
Physics Kinematics Level: High School
Projectile Motion
A cannonball is shot from a cannon on a cliff at a height of 11.8 m at a ship on the ocean . The cannonball is shot with an initial velocity of 16.4 m/s at an angle to 49.9 degrees above the horizontal .a) What are the x and y component of the initial velocity ?
b) What is the total maximum height of the cannonball ?
c) What is the total time in the air for the cannonball ?
Physics Kinematics Level: High School
Free Fall
A student drops a ball from the top of a building 20 meters high . What is the ball’s speed just before it hits the ground ?
Physics Kinematics Level: High School
Projectile Motion
A baseball fallows the parabolic trajectory y = 11 x-x^2 m where x and y represent the horizontal and vertical distance in meters of the ball at a particular instant . Solve for the point where the ball lands .
Physics Kinematics Level: High School
Relative Motion
Two planes (1and 2) start out at airports separated by 2200 kilometers. They take off simultaneously , and travel in opposite direction directly towards each other. Plane 1 travels at 500 km/h plane 2 travel at 600 km/h . Determine the time at which they meet .
Physics Kinematics Level: High School
One Dimensional
If the initial speed of an object with constant acceleration is 5 m/s and the acceleration is 2m/s^2 , what is the speed of the object after 10 seconds ?
Physics Kinematics Level: High School
A car is located 20 meters from a store when the car starts moving away from the store , down the main street , at 5 meters /second . Express the car’s location (in meters) as a function of time t (in seconds) , using the store as the origin:a) x(t) = 5t^2+20
b) x(t) = 5t + 20
c) x(t) = 5t -20
d) x(t) = 2.5t^2+5t+20
Physics Kinematics Level: High School
Translate the following sentence into equations: Car A is at the same position that Car B was one second earlier :a) xa(t+1) = xb(t)
b) xa(t) = xb(t+1)
c) xa(t) = xb(t-1)
d) xa(t-1)= xb(t)
Physics Kinematics Level: High School
Projectile Motion
The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude . In other words, the range is the distance the projectile will travel on flat ground . A projectile is launched at t = 0 which initial speed v theta at an angle theta , above the horizontal .a) Find the time t at which the projectile returns to its original altitude
b) What value of theta , gives the maximum range ? what is this maximum range ?
Physics Kinematics Level: High School
Relative Velocity
A pilot starting from Athens, New York , wishes to fly to Sparta , New York , which is 320 km from Athens in the direction 20.0 degree N of E . The pilot heads directly for Sparta and flies at an airspeed of 160 km/h . After flying for 2.0 h , the pilot expects to be at Sparta , but instead he finds himself 20 km due west of Sparta . He has forgotten to correct for the wind .a) What is the velocity of the plane relative to the air ?
b) Find the velocity (magnitude and direction) of the plane relative to the ground .
c) Find the wind speed and direction .
Physics Kinematics Level: High School
Projectile Motion
A marble is rolled so that it is projected horizontally off the top landing of a staircase . The initial speed of the marble is 3.0 m/s . Each step is 0.18 m high and 0.30 wide . Which step does the marble strike first ?
Physics Kinematics Level: High School
Flywheel Kinematics
Find the time t 10 it takes to accelerate the flywheel to 10.0 rps (revolutions per seconds) if infinite is 5.00 radians/s^2 .a) Find t 10
b) Find the time t to accelerate that flywheel from rest up to angular velocity w1 .
c) Find the angle B1 through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity w1 ?
d) Assume that the motor has accelerated the wheel up to an angular velocity w1 with angular acceleration infinite in time t1 . At this point the motor is turned off , and a brake is applied that decelerates the wheel with a constant angular acceleration of -5infinite . Find t2 , the time it will take the wheel to stop after the brake is applied ( that is , the time for the wheel to reach zero angular velocity) .
Physics Kinematics Level: High School
Complete the following statements : A body is in translational equilibriuma) Only if it is a rest
b) Only if it is moving with constant velocity .
c) If it is either at rest or moving with a constant velocity .
d) If it is moving with either constant velocity or constant acceleration .
Physics Kinematics Level: High School
A boy standing on a roof of height 22.7 meters , throws two stones . The first is projected with a speed 33.9 at an angle 68 degrees above the horizontal . The second is projected with the same speed at the same angle below the horizontal . Find the distance between the points where they reach the ground . Note : g = 9.81m / s^2 .
Physics Kinematics Level: High School
A particle is projected with an initial speed 47.7 m / s at an angle 68 from the horizontal . Find the speed at the point of maximum height . ( g = 9.81 m / s )