Two cars approach a street corner at right angles to each other. One is red and one is blue. Both cars have the same speed of 40 km/hr. The blue car is moving due south and the red car is moving east. What is the velocity of the red car as seen by the observer in the blue car (find both the magnitude and the direction)?
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Two cars approach a street corner at right angles to each other. One is red and one is blue. Both cars have the same speed of 40 km/hr. The blue car is moving due south and the red car is moving east. What is the velocity of the red car as seen by the observer in the blue car (find both the magnitude and the direction)?
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- A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +2.5 m/s and ax = +7.8 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +8.4 m/s and ay = -5.5 m/s2. Find (a) the magnitude v and (b) the direction θ of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position after a second is given by P = (5.0 cm)i + (7.0 cm)j + (3.0 cm) k What is the distance (in centimeter) traveled by the toy frog assuming straight-line motion?A game requires that two children each throw a ball upward as high as possible from point O and then run horizontally in opposite directions away from O. The child who travels the greater distance before their thrown ball impacts the ground wins. If child A throws a ball upward with a speed of v1 = 59 ft/sec and immediately runs leftward at a constant speed of vA = 14 ft/sec while child B throws the ball upward with a speed of v2 = 56 ft/sec and immediately runs rightward with a constant speed of vB = 16 ft/sec, which child will win the game? Calculate the distances sA and sB that each child travels while the respective ball is in the air.