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12a.A right triangle has a hypotenuse of length 2.00 m, and one of its angles is 35.0°. What are the lengths of the following sides?

(a) the side opposite the 35.0° angle

 


(b) the side adjacent to the 35.0° angle

 


14a. A vector A has components Ax = −2.00 m and Ay = 2.50 m.

 Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.


15a.The magnitude of vector A is 29.5 units and points in the direction 330° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.


6a.A rectangular airstrip measures 34.50 m by 230 m, with the width measured more accurately than the length. Find the area (in m2), taking into account significant figures.


8.a certain car is capable of accelerating at a rate of 0.57 m/s2. How long does it take for this car to go from a speed of 30 mi/h to a speed of 40 mi/h?

 s


9.A certain aircraft has a liftoff speed of 129 km/h.(a) What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 234 m?

 m/s2


(b) How long does it take the aircraft to become airborne?

 s


10.A car accelerates uniformly from rest to a speed of 30.0 mi/h in 11.0 s.

(a) Find the distance the car travels during this time.

 m


(b) Find the constant acceleration of the car.

 m/s2

11. ball is thrown vertically upward with a speed of 30.0 m/s.(a) How high does it rise?

 m


(b) How long does it take to reach its highest point?

 s


(c) How long does the ball take to hit the ground after it reaches its highest point?

 s


(d) What is its velocity when it returns to the level from which it started?

 m/s


A spacecraft is in orbit at an altitude of 100 km above the surface of the moon.




What is its speed? Mmoon = 7.34 x 1022 kg and Rmoon = 1.84 x 106 m





How long will it take a 4.5Ci sample of material to reach an activity level of 0.14Ci if the half-life is 435 years?

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