Trig/Vectors
Vector A has a magnitude of 12.3 units and points due west. Vector B points due north.
(a) What is the magnitude of B if A+B has a magnitude of 15.0 units?
(b) What is the direction of A+B relative to due west?
(a) 8.6 units
(b) 34.9° north of west
A powerboat, starting from rest, maintains a constant acceleration. After a certain time t, its displacement and velocity are r and v. at time 2t, what would be its displacement and velocity, assuming that the acceleration remains the same?
A)2r and 2v
B)4r and 2v
C)2r and 4v
D)4r and 4v
4r and 2v
v=at
r=1/2a(2t)^2
A straight track is 1600m in length. A runner begins at the starting line, runs due east for the full length of track, turns around and runs halfway back. The time for this run is five minutes.
What is the magnitude of the runner's average velocity?
What is the runners average speed?
a)160 m per min
b)480 m per min
Vector A has a magnitude of 12.3 units and points due west. Vector B points due north.
(c) What is the magnitude of B if A-B has a magnitude of 15.0 units?
(d) What is the direction of A-B relative to due west?
(c) 8.6 units
(d) 34.9° south of west
Suppose you are driving due east, traveling a distance of 1500 m in 2 minutes. You then turn due north and travel the same distance in the same time. What can be said about the average speeds and the average velocities for the two segments of the trip?
The average speeds are the same, but the average velocities are different.
Two balls are launched upwards from the same spot at different angles with respect to the ground. Both balls rise to the same maximum height. Ball A, however, follows a trajectory that has a greater range that that of ball B. Ignore air resistance, decide which ball, if either, has the greater launch speed.
Ball A
A force vector has a magnitude of 575 newtons and points at an angle of 36.0° below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector?
(a) 465 N
(b) –338 N
An object is thrown upwards at an angle x above the ground, eventually returning to earth. Which statement is true?
1.The velocity and acceleration are always parallel.
2.The velocity and acceleration are perpendicular only at the top of the trajectory
3.The velocity and acceleration are always perpendicular
4.The velocity and acceleration are parallel only at the top of the trajectory.
2.The velocity and acceleration are perpendicular only at the top of the trajectory
A leopard springs upward at a 45 degree angle and then falls back to the ground. Air resistance is negligible. Does there exist a point on the leopard's trajectory at which its speed is one half of its initial value?
False