A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 23.0 m above the river, whereas the opposite side is a mere 2.1 m above the river. The river itself is a raging torrent 52.0 m wide.

An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles, the pilot turns 90° and heads toward the northwest. After the plane goes 4 miles in this direction, what bearing has the plane from the terminal?

A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls along the leash with force F = (86.4 N)i + (139.6 N)j + (34.8 N)k. (Here the unit vector k is directed vertically upward.) What is the magnitude of the pulling force in N? What angle does the leash make with the vertical?

A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a.  How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b.  What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.

A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis. A second force of  F2 = 50.0 N is directed at an angle of 60.0° below the x-axis.= 50.0 N is directed at an angle of 60.0° below the x-axis.  What is the vector sum of these two forces?

A snow-covered ski slope makes an angle of 0slone = 30.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.60 m at 0, = 18.0° from the vertical in the uphill snow direction as shown in the figure below. snow Oglope (a) Find the component of its maximum displacement parallel to the surface. m (b) Find the component of its maximum displacement perpendicular to the surface.

Vector M has an x-component of 8.5 km and a y-component of 16.0 km. What is the length of Vector M?

The ocean is not flat, because the Earth is curved. Take the radius of the Earth to be 6.38 × 103 km. How many meters lower will its surface be 32.0 km from the ship as measured along a line that is tangent to the surface of the Earth at the location of the ship?

Vector A has y-component Ay = +9.6 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What is the x-component of vector A? (b) What is the magnitude of A?

Consider the three vectors A= 4.2i+3.9j+6.5k, B=-9.1i+1.3j+6.4K, and C=8.8i-2.9j+3.2k. (A) what is the x component of the vector sum V= A+B+C? (B) what is the y component of the vector sum V=A+B+C? (C) what is the s component of the vector sum V=A+B+C? (D) what is the length of the sum of the given vectors, |V|?