Over a time interval of 1.52 years, the velocity of a planet orbiting a distant star reverses direction, changing from +20.5 km/s to -15.8 km/s. Find (a) the total change in the planet's velocity (in m/s) and (b) its average acceleration (in m/s²) during this interval. Include the correct algebraic sign with your answers to convey the directions of the velocity and the acceleration. (a) Number i (b) Number i Units Units

Marc left Town A at 8 a.m. and drove to Town B at an average speed of 60 km/h. 1 1/2 hours later, Ben left Town A and drove to Town B, follwing the same route as Marc. After travelling for 240 km, Ben caught up with Marc. (a) What was Ben's average speed? (b) How far apart were they at 2 p.m.?

Cities A and B are connected by a straight road of total length 200 miles.Two cars depart cities A and B at the same time, moving towards each other. The A-car travels at 60 miles per hour, and the B-car at 40 mph. At the same time, a fly starts off from the front bumper of the A-car flying at 100 mph. It flies towards city B until it touches the bumper of the B-car, and then flies back, touches the A-car, flies back, etc, until the cars collide and the fly is squashed. The standard trick question is - what is the total distance traveled by the fly? At first sight one would think that the problem should be solved by the series summation, but that’s not necessary - the cars meet after 2 hours, and during that time the fly traveling at 100 mph covers exactly 200 miles. Now that you know the answer, solve this problem using the series summation [1].

Influenced by the gravitational pull of a distant star, the velocity of an asteroid changes from from +20.7 km/s to −19.1 km/s over a period of 2.19 years. (a) What is the total change in the asteroid's velocity? (Indicate the direction with the sign of your answer.)   (b) What is the asteroid's average acceleration during this interval? (Indicate the direction with the sign of your answer.)

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An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.     20,796 g s     10,398 g s     2,120 g s     1,060 g s

An object's (one dimensional) motion is represented by the following graph of position 5) versus time. x (meters) (5,3) (0,2). (2,1) + t (s) (7, -1) (f) Find the velocity of the object at t = 3 s. (g) Find the velocity of the object at t = 6 s. (h) Find the position of the object at t = 3 s. (i) What is the average velocity from t = 0 to t = 7 s.? G) What is the average speed from t = 0 to t = 7 s.? (k) What is the average speed from t = 1 s to t = 5 s.?

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

A rocket is fired upward with a velocity (v) of 590 feet per second. find how many seconds pass before the rocket reaches the ground (s=0) again. use the quadratic equation s=-16t^2+590t.

A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.96 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?