Physics Vectors Level: High School
Vector A has a magnitude of 48 units and points due west , while vector B has the same magnitude but points due south . Determine the magnitude and direction of(a) A+B
(b) A-B
Specify the direction relative to due west
Mathematics Trigonometry Level: High School
The silhouette of a Christmas tree is an isosceles triangle . The angle at the top of the tree is 30 degrees , and the base measures 2.00 meters across . How tall is the tree ?
Mathematics Trigonometry Level: High School
You are driving into St . Louis , Missouri , and in the distance you see the famous Gateway-to-the-west arch . This monument rises to a height of 192 meters . You estimate your line of sight with the top of the arch to be 2.0 degrees above the horizontal . Approximately how far (in km) are you from the base of the arch ?
Physics Vectors Level: High School
A brick is thrown horizontally from the top of a building with an initial speed of 15 m/s. It strikes the ground after 3 seconds. How high is the building ?
Physics Vectors Level: High School
You are in a motorboat that moves at 40 km/hr in still water . How long will it take you to travel 15 km upstream in a river flowing at 6 km/hr ?
Physics Vectors Level: High School
A jet fighter plane is launched from a catapult on an aircraft carrier , and this requires 3.0 seconds . Assume the acceleration is constant , what is the length of the catapult ?
Physics Vectors Level: High School
After touching down on a runway , an airplane is brought to a stop in 15 seconds . If the acceleration of the plane was a constant -6.5 m/s^2 , what was the speed of the plane at touchdown ?
Physics Kinematics Level: High School
A particle moves in the xy plane with constant acceleration . At time zero , the particle is at x = 3m , y = 10m and has velocity v = 6m/s i + -9m/s j . a = 2m/s2 i + 7m/s2 j . The acceleration is given by the vector.(a) Find the velocity vector at t = 6s. 18 m/s i + 33 m/s j
(b) Find the position vector at t = 3s. 30m i + 14.5 m j
Give the magnitude and direction of the position vector.33.32 m 25.8 degree (from the +x – axis)
Physics Kinematics Level: High School
How far does the runner whose velocity-time graph is shown at “click here” travels in 12 seconds ?
Physics Kinematics Level: High School
A hot-air balloon is ascending at the rate of 10 m/s and is 91 m above the ground when a package is dropped over the side.(a) How long does the package take to reach the ground ?
Physics Kinematics Level: High School
Raindrops fall 1600 m from a cloud to the ground.(a) If they were not slowed by air resistance, how fast would the drops be moving when they struck the ground ?
(b) Would it be safe to walk outside during a rainstorm ?
Physics Kinematics Level: High School
An electric vehicle starts from rest and accelerates at a rate of 2.8 m/s^2 in a straight line until it reaches a speed of 16 m/s. the vehicle then slows at a constant rate of 1.0 m/s^2 until it stops.(a) How much time elapses from start to stop ?
(b) How far does the vehicle travel from start to stop ?
Physics Kinematics Level: High School
If the position of a particle is given by x = 25 t- 2t^3, where x is in meters and t is in seconds, answer the following questions ?(a) when if e+ver, is the particles velocity zero
(b) when is its acceleration a zero ?
(c) When is a negative ?
when 0 when t>0 when t < 0 (d) When is a positive ? when t>0 when 0 when T<0
Physics Kinematics Level: High School
A particle moving at 7.5 m/s in the positive x direction is given an acceleration of 0.1 m/s^2 in the positive y direction for 2.75. What is the final speed of the particle ?
Physics Vectors Level: High School
Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 10 degree south of east and then walks 8.0 km due north. How far is the camel then from oasis B ?