7. The radar beam of a police car points at an angle of 30⁰ away from the direction of a highway. The radar records the component of the car's speed along the beam as V₁ = 120 km/h CR (a) What is the speed Vc of the car along the highway? (b) Can the radar beam be directed perpendicular to the direction of the highway? Why or why not? VCR

1. Three identical boats set out to cross a river that has a current. Boat A points directly across the river, boat B points 20º downstream from a point straight across the river, and boat C points 20º upstream from a point straight across the river. Which boat will arrive on the opposite shore first? Draw diagrams to illustrate your answer.

A fighter plane moving 211.0 m/s horizontally fires a projectile with speed 47 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?       a)  240 m/s   b)  283 m/s   c)  253 m/s   d)  278 m/s

Problem 8 It is raining outside. From the perspective of an observer standing on the ground, the raindrops are falling vertically downward at a speed of 12 m/s. You are driving down the highway at a speed of 65 mph (29 m/s). What angle, relative to the horizontal will you see the raindrops falling?

Part A - A mortar positioned on the valley floor fires a shell that hits the top edge of a steep canyon. Initially the shell has a speed of 269 m/s and is shot at an angle of 65° above the horizontal. A soldier using a map determines the horizontal distance from the mortar to the canyon's edge is 2900 m. How high above the valley floor did the shell hit? ΑΣφ ? m Submit Request Answer

Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher and knows that the fastest he can throw the ball is about vo = 33.7 m/s. Bob starts the stopwatch as he throws the ball, with no way to measure the ball's initial trajectory, and watches carefully. The ball rises and then falls, and after t₁ = 0.710 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball hit the ground x = 123 m from the base of the cliff. How high above the beach was the ball when it was thrown? initial height: X 1₁ m

82 Mt. Lafayette hike. Figure 3.19 shows a trail 5.8 km long, leading from a trailhead (elevation 1770 ft) to the summit of Mt. Lafayette (elevation 5250 ft) in New Hampshire. Sara hikes the trail. What are the (a) magnitude L and (b) elevation angle (relative to the horizontal) of Sara's displacement for the hike? (Measure the component in the plane of the map by laying the edge of a sheet of paper next to the line in the map, marking off the line's length d, and then using the scale on the map.) Eigure 3.19 Problem 82. 5250 Mt. Lafayette Old Franconia Notch Bridle Mt. Lincoln 5089 Path 2 3 km

2. At an archery contest, a large circular target 5 ft in diameter is laid flat on the ground with the bull's- eye exactly 180 yd (540 ft) away from the archers. Marion draws her bow and shoots an arrow at an angle of 25° above horizontal with an initial velocity of 150 ft/sec (assume the archers are standing in a depression and the arrow is shot from ground level). a) What was the maximum height of the arrow? b) Does the arrow hit the target?

G docs.google.com & An object moves on the negative x axis a distance of (5m) according to the formula (x= -7t +2t^2), the time it * :takes is equal to the formula (X= -7t + 2t²) 2s 4s 2.5s O 3.5s

You decide to walk from your home to your friend's house. He lives 164 meters away from you at an angle 59° South of East. What is the eastern component of your displacement? m What is the southern component of your displacement? m