A car is driving directly north on the freeway at a speed of 119 km/h and a truck is leaving the freeway driving 87.0 km/h in a direction that is 35° west of north. Assume north to be in the +y-direction and east to be in the +x-direction. a) What is the magnitude of the velocity of the truck relative to the car? b) What is the direction of the velocity of the truck relative to the car? Enter the angle in degrees where positive indicates south of west and negative indicates north of west.

Find the following for path A in the Figure, measuring the displacementsfrom the back of the arrow, indicated by a dot, to the arrow's head. Round to the nearest integer. a. The distance traveled in meters. b. The magnitude of the displacement from start to finish in meters.

a) the place where the rock lands.  b) the velocity of the rock (magnitude and direction) just before it lands.

Sheena can row a boat at 3.20 mi/h in still water. She needs to cross a river that is 1.20 mi wide with a current flowing at 1.80 mi/h. Not having her calculator ready, she guesses that to go straight across, she should head upstream at an angle of 25.0° from the direction straight across the river. a.)What is her speed with respect to the starting point on the bank? b.)How long does it take her to cross the river?

A plane releases a package from an altitude of 300 meters. At the time of release, both the plane and package are moving at 100 meters per second, directed at an angle of 20 degrees below the horizontal. How long is the package in the air? Find the magnitude and direction of the velocity of the package just before impact? Draw a sketch or diagram of the problem. Thank you for your help.

When there is no air resistance what best describes the vectors of a projectile in motion:   a.The acceleration vector and velocity vector are both constant magnitude.   b.The acceleration vector is constant magnitude and perpendicular to the trajectory. The velocity vector is at a tangent to the trajectory   c.The acceleration vector is constant and points straight down. The velocity vector is perpendicular to the trajectory   d.The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory

Answer part D).

1) A student drove to the university from her home and noted that the odometer reading of her car increased by 15.8 km. The trip took 25.9 min. a) What was her average speed, in meters per second?  b) If the straight-line distance from her home to the university is 10.3 km in a direction 25° south of east, what was the magnitude of her average velocity in meters per second? c) If she drove back home using the same path she took out to the university and arrives 7.9 h after she first left home, what was her average speed for the entire trip, in meters per second?

A glider aircraft initially traveling due west at 86.0 km/h encounters a sudden gust of wind at 40.0 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)

A spider moves on a wall along the path shown in the figure. The spider's position and velocity is indicated at t; = 0 and t; = 6.00 seconds. The spider's initial velocity v; = 0.100 m/s is toward the North and final velocity vị = 0.100 m/s is toward the East. Determine the following: a) The x- and y-components of the displacement b) The x- and y-components of the average velocity c) The x- and y-components of the average acceleration. y (m) v = 0.100 m/s 0.350 = 0.100 m/s 0.150- x (m) 0.100 0.400