If I say that an object that is moving in uniform circular motion is doing so with a continually changing velocity , why is this not a contradiction? Also what direction does the acceleration point and how can we prove this?

W N S Suppose a police officer is 1/2 mile south of an intersection, driving north towards the intersection at 45 mph. At the same time, another car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The officer's radar gun indicates 20 mph when pointed at the other car (that is, the straight-line distance between the officer and the other car is increasing at a rate of 20 mph). What is the speed of the other car? Speed = mph. Speed: = Now suppose that the officer's radar gun indicates -20 mph instead (that is, the straight-line distance is decreasing at a rate of 20 mph). What is the speed of the other car this time? E mph.

A projectile is launched from ground level innitial speed of 202 an angle of ft/s of 60°. Find the following (using g = 32 ft/s²). at b) The maximum altitude attained (in feet). round your answer to 4 decimal places. a) Parametric equations of the projectile's trajectory. a symbolic function of t with No decimal numbers. Write x (t) and y(t) clearly so I can understand the steps, thanks. your answer should be c) The range of the с) round with an projectile (in feet). your answer to up decimal places. elevation

A ball is traveling at a constant speed (v) of 40.0 m/s in a circle with a radius (r) of 6.0 m.       (Hint: The circumference C = 2πr)      The centripetal acceleration is ZERO                                                                                                                         a. False                  b. True The total distance traveled by the ball is: How long in time does it take for the ball complete one circle? The displacement traveled by the ball is:       The average speed of the ball is: The average velocity of the ball is:

A major league pitcher claims that he can throw a baseball from the ground, straight up, as high as 740 ft tall. At what speed would he need to throw the ball to reach that height? Round the final answer to the nearest whole number.

The formula v = v2.3r models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature r, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 470 feet. What is the maximum safe speed? For this problem, round your answer DOWN to the nearest whole number. (Think: Why is this type of rounding appropriate for this scenario?) max safe speed =

A car is traveling south at 30 km/h. it rounds a curve, and 6 s later it is traveling west at 30 km/h. the magnitude of the average acceleration of the car is: (the answer is 7.1 km/h s )  I have the answer, but PLEASE show how to get it in step by step detail/explain how ( it's an exam review question but I don't know why that's the answer)

A particle describes a circumference arc of 6.6m radius. At the instant that the speed os v= 6.6m/s and the angle os 53 between the radius and the total acceleration. Calculate tangencial acceleration

A large Ferris wheel cames passengers around in a circle starting on the ground and then going up to see the surrounding city from an altitude of 45 meters. The Ferris wheel takes 2.5 minutes to go through a full cycle. Let us set up our coordinate system so that the motion of the wheel is in the = 0) plane, our car stars at the origin at time zero, and we initially start moving in the +y direction. Assuming that the Ferris wheel movies steadily and never stops, write parametric equations to describe the motion of a car on the Ferris wheel, with x, y, z in meters and in seconds. r(t) = y(t) z(t)

A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.50 km.   (a) What is its centripetal acceleration in gs?     (b) Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 615 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)