Physics Kinematics Level: High School
Circular motion
A car is moving around a circular path of radius 200 m at a constant speed of 8 m/sa) What is the car’s displacement from the instant it is at position of r1 = 200 m at 90 degrees to the instant it is at a position of r2 = 200 at 0 degrees ?
b) What is the car’s change in velocity between positions r1 and r2 ?
c) What is the car’s average acceleration between r1 and r2 ?
d) What is the cars centripetal acceleration (direction and magnitude) at position r2 ?
Physics Kinematics Level: High School
Projectile
A ball is projected horizontally from the edge of table that is 1.0 m high and it strikes the floor at a point 1.2 m from the base of the table .a) What is the initial speed of the ball ?
b) How high is the ball above the floor when its velocity vector makes a 45 degree angle below the horizontal ?
Physics Kinematics Level: High School
Projectile
A stone is projected at a cliff of height h with an initial speed of 38.0 m/s directed 60.0 degrees above the horizontal . The stone strikes at A, 5.10 s after launching .a) Find the height h , of the cliff .
b) Find the speed of the stone just before impact at A .
c) Find the maximum height H reached above the ground .
Physics Kinematics Level: High School
Projectile motion
A dart is thrown horizontally with an initial speed of 13 m/s toward point P , the bull’s eye on a dart board . It hit at point Q on the rim , vertically below P , 0.16 s later . Neglect air resistance .a) What is the distance PQ ?
b) How far away from the dart board is the dart released ?
Physics Kinematics Level: High School
Projectile motion
A ball rolls horizontally off the edge of a tabletop that is 1.10 m high . It strikes the floor at a point 1.63 m horizontally away from the table edge . (Neglect air resistance )a) How long was the ball in the air ?
b) What was its speed at the instant it left the table ?
Physics Kinematics Level: High School
Projectile
A projectile is fired horizontally from a gun that is 67.0 m above flat ground , emerging from the gun with a speed of 250 m/s .a) How long does the projectile remain in the air ?
b) At what horizontal distance from the firing point does it strike the ground ?
c) What is the magnitude of the vertical component of its velocity as it strikes the ground ?
Physics Kinematics Level: High School
Two dimensional
A particle leaves the origin with an initial velocity v = (5.00 i) m/s and a constant acceleration a = (-3.00 i -0.900 j) m/s2a) What is the velocity of the particle when it reaches its maximum x ?
b) What is the position vector of the particle at this time ?
Physics Kinematics Level: High School
Two dimensional
The velocity v of a particle moving in the xy plane is given by v = (6.0t- 4.0t2) + i + 9.0 J, with v in meters per second and t(>0) is in seconds .a) What is the acceleration when t = 3.0 s ?
b) When is the acceleration zero ?
c) When is the velocity zero ?
d) When does the speed equal 10 m/s ?
Physics Kinematics Level: High School
Two dimensional
The position r of a particle moving in an xy plane is given by r = (3.00t3 – 5.00t) i + (6.00 – 1.00 t4) j . Here r is in meters and t is in seconds .a) Calculate r for t = 1.30 s .
b) Calculate v for t = 1.30 s .
c) Calculate a for t = 1.30 s .
d) What is the orientation of a line that is tangent to the particle’s path at t = 1.30 s ?
Physics Kinematics Level: High School
Two dimensional
A plane flies 480 km east from city A to city B in 45.0 min and then 920 km south from city B to city C in 1.50 h . (Assume i points east and points north )a) In magnitude-edge notation, what is the plane’s displacement for the total trip ?
b) In magnitude-angle notation , what is the plane’s average velocity for the total trip ?
c) What is the plane’s average speed of the trip ?
Physics Kinematics Level: High School
Three dimensional
An electrons position is given by r = 2.00 t i – 7.00 t2 j + 4.00 k , with t in seconds are r in meters .a) In unit vector notation , what is the electrons velocity v(t) ? (Answer in terms of i,j,k and t)
b) What is v in unit-vector rotation at t = 5.00 s ?
c) What is the magnitude of v at t = 5.00 s ?
d) What angle does v make with the positive direction of the x axis at t = 5.00 s ?
Physics Kinematics Level: High School
Two dimension
A train moving at a constant speed of 51.0 km/h moves east for 48.0 min , then in a direction 40.0 degrees east of due north for 23.0 min , and the west for 75.0 min , What is the average velocity of the train during this run ?
Physics Kinematics Level: High School
Projectile
A small ball rolls horizontally off the edge of a tabletop that is .5m high . It strikes the floor at a point 1.7 m horizontally from the table edge .(a) How long is the ball in the air ?
(b) What is its speed at the instant it leaves the table ?
Physics Kinematics Level: High School
Two dimension
A stone is catapulted at time t = 0 , with an initial velocity of magnitude 20.0 m/s and at an angle of 30 degrees above the horizontal . What are the magnitudes of the(a) horizontal and
(b) vertical component of its displacement form the catapult site a t = 2.10 s
Physics Kinematics Level: High School
An electron moving along the x axis has a position given by x = (4t^2)- 64t m, where t is in seconds . How far is the electron from the origin from it momentarily stops ?