newton is traveling eastward at 20km/hr. While Isaac is traveling northward at 10 km/hr. At 1:00PM, Isaac is located 50km south of Newton. At what rate is the distance between Newton and Isaac changing at 3:00PM

A vehicle is driving on a circular track with a radius of 1 (miles). A police car is situated at the southernmost point on the track where he is equipped with a radar speed gun. In a given point in time the car is half a mile from the radar gun and the distance between the car and the gun increases by 50 mph. Ignoring the vehicles movement from east to west, how quickly is the vehicle driving north?

A rocket is rising vertically at a rate of 4200 miles per hour. An observer on the ground is standing 16 miles from the rocket’s launch point. How fast (in radian per minute) is the angle of elevation between the ground and the observer’s line of sight of the rocket increasing when the rocket is at an elevation of 43 miles? Express your answer in 3 decimal places.

You are driving home from school steadily at 97 km/hkm/h for 160 kmkm. It then begins to rain and you slow to 61 km/hkm/h instantly. You arrive home after driving 4.5 hours. How far is your hometown from school? answer using two significant figures.

To get to his office from home, Greg walks 5 blocks north and then 2 blocks east. After work he meets some friends at a cafe; to get there he walks 3 blocks south and 6 blocks west. All blocks are 660 feet long. What is the straight-line distance from the cafe to his home? Express your answer in feet.

At noon, Fred is driving south on Highway 1, 50 miles north of its intersection with Highway 2. He is traveling at 40 miles per hour. At noon, Jill is driving west on Highway 2 through its intersection with Highway 1. She is traveling at 30 miles per hour. (a) When will Fred reach the intersection with Highway 2? (b) How far apart will the two cars be at that time? (c) When will the two cars be closest to each other, “as the crow flies”? (d) How far apart will they be at that time?

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The heights of the ball in feet is given by the equation s= -2.71² +50t+6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b. a. After how many seconds is the ball 18 ft above the moon's surface? After seconds the ball will be 18 ft above the moon's surface. (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) ents Librar ccess 4 Help me solve this View an example Get more help. Check answer ▬ J 38 insert FG Q A Z → 2 W S alt x # 3 E D DII C $ 4 R 2 F FS V %6 5 T G ^ 6 B F7 Y H & 7 8 N (DELL FR J 8 F9 M 00 к prt sc F10 10 9 Clear all O " alt home ) O L F11 P end ctrl : F12 1 [ 0 + ? / = 66 delete } 1

An object is launched on the moon at 16 feet per second (f / s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is s(t)=-16t^ ^ 2+16t+1152 , where s is in feet. When does the object strike the moon's surface and why?

While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m east, 300 m south, 150 m at an angle 30˚ south of west, and 200 m 60˚ north of west. What is the displacement (magnitude and direction) from the cave entrance?

An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) Sig figs Considered.