Unit Conversions
The number of centimeters in 23.44 meters.
What is 2344 centimeters?
Solve for t in the equation: Deltax=vt
What is (Deltax)/v ?
What are direction and magnitude?
A swimmer with a speed of 2 m/s in still water is swimming directly against a 3 m/s current. Determine their speed relative to an observer floating in the water.
What is 2 m/s?
A projectile is launched at 50 m/s and an angle of 30o above the horizontal. Determine its horizontal acceleration just before impact.
What is zero?
The length of one side (in km) of a square with an area of 36 m2 expressed in scientific notation.
What is 6.0 x 10-3 km?
Solve for vi: vf^2=vi^2 + 2aDeltax
What is root 2 (vf^2 - 2aDeltax) ?
The net displacement of two vectors that are the same magnitude but opposite in direction.
What is zero?
A swimmer with a speed of 2 m/s in still water is swimming directly against a current of 3 m/s. Determine their speed relative to a stationary observer.
What is - 1 m/s?
A projectile is launched at 50 m/s at positive angle 30o above the horizontal. Determine its vertical acceleration at the top of its trajectory.
What is - 9.81 m/s2?
The Earth revolves this many degrees about its axis in one second.
What is 4.17 x 10-3 deg./s
Mathematically express the horizontal velocity for an object that is launched at some velocity v at an angle of theta
What is vcostheta ?
Determine the displacement and distance of a person who walks 5 blocks east and 12 blocks north.
What is 13 blocks and 17 blocks?
A swimmer with a speed of 2 m/s in still water is swimming perpendicular to a current of 3 m/s. Determine their speed relative to a stationary observer.
What is 3.6 m/s?
A projectile is launched horizontally from the top of a cliff at 100 m/s. If it lands after 5 seconds, determine how far from the cliff it went.
What is 500 m?
The number of kilometers that light will travel in the vacuum of space in one year. (light speed = 2.998 x 108 m/s)
What is 9.465x 1012 km?
Describe the angle at anytime (t) a projectile makes with the horizontal axis with respect to initial velocity, v, and launch angle ( theta ).
What is tan^-1((vsintheta-g*t)/(vcostheta))
Mathematically describe the resultant vector from the addition of two vectors with + 3 (horizontal) and - 7 (vertical) respectively.
What is 7.6 at a 67o angle below the horizontal axis?
A plane flying east at 200 m/s encounters a wind blowing north at 15 m/s. Determine its heading so that it counter acts the wind.
What is 4.3 degrees south of east?
A stone is thrown at 10 m/s at 35o above the horizontal. Determine its initial vertical velocity.
What is 5.7 m/s?
The density (kg/m3) of a rectangular prism whose sides measure 120 cm x 0.0012 km x 3.2 x 103 mm with a mass of 4.7232 x 106 g.
What is 1025 kg/m3
For a projectile launched at a velocity of v and angle theta. Write the formula that describes the instantaneous speed for any point along its path.
What is: root2((vsintheta-g*t)^2+(vcostheta)^2
Describe the resultant for veca + vecb = vecR when veca has a magnitude of 4 at 30o above the positve x-axis and vecb has a magnitude of 7 at 50o below the negative x-axis.
What is a magnitude of 3.52 and direction of 72.8o below the - x-axis?
A boat that moves 5 m/s in still water is moving perpendicular to a 3 m/s river current. Determine its speed relative to a stationary observer on shore and the angle it makes relative to the river bank.
What is 5.8 m/s at and angle 59o from the river bank?
A stone is launched from the ground at 10 m/s, 35o above the horizontal. Determine how far it will go before impact.
What is 9.6 m?