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Terms in this set (17)
(A). a(x)= 7.63 m/s^2
A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by υx(t)=(0.990m/s3)t^2
(A) What is the acceleration of the car when υx = 14.7 m/s ?
(A). t = 1.55s
A juggler throws a bowling pin straight up with an initial speed of 7.60 m/s .
(A) How much time elapses until the bowling pin returns to the juggler's hand?
(A). h = 500m
(B). Vy = 110m/s
A rocket starts from rest and moves upward from the surface of the earth. For the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay=(3.00m/s3)t, where the +y-direction is upward.
(A) What is the height of the rocket above the surface of the earth at t = 10.0 s ?
(B) What is the speed of the rocket when it is 315 m above the surface of the earth?
(A). l = 0.310m
A flowerpot falls off a windowsill and falls past the window below. You may ignore air resistance. It takes the pot 0.420 s to pass from the top to the bottom of this window, which is 1.90 m high.
(A) How far is the top of the window below the windowsill from which the flowerpot fell?
(A). a = -0.708m/s^2
(B). a = -0.708m/s^2
(C). a = -2.3m/s^2
An astronaut has left the International Space Station to test a new space scooter. Her partner measures the following velocity changes, each taking place in a time interval 12.0 s . What are the average acceleration in each interval? Assume that the positive direction is to the right.
(A) At the beginning of the interval the astronaut is moving toward the right along the x-axis at 14.0 m/s , and at the end of the interval she is moving toward the right at 5.50 m/s.
(B) At the beginning she is moving toward the left at 5.50 m/s , and at the end she is moving toward the left at 14.0 m/s .
(C) At the beginning she is moving toward the right at 14.0 m/s , and at the end she is moving toward the left at 14.0 m/s .
(A). d = 92m
(B). D = 92m
A gazelle is running in a straight line (the x-axis). The graph in the figure (Figure 1) shows this animal's velocity as a function of time.
(A) During the first 12.0 s, find the total distance moved.
(B) During the first 12.0 s, find the displacement of the gazelle.
(Figure 1) A small source of light S is located at a distance L from a vertical wall. An opaque object with a height of h moves toward the wall with constant velocity v of magnitude v. At time t=0 , the object is located at the source S.
(A) Find an expression for vs, the magnitude of the velocity v of the top of the object's shadow, at time t.
A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t)=bt2−ct3, where b = 2.80 m/s2 and c = 0.110 m/s3 .
(A) Calculate the average velocity of the car for the time interval t= 0 to t= 10.0 s.
(B) Calculate the instantaneous velocity of the car at t=0.
(C) Calculate the instantaneous velocity of the car at t=5.00 s.
(D) Calculate the instantaneous velocity of the car at t=10.0 s.
(E) How long after starting from rest is the car again at rest?
(A). a(x) = 8.65 ft/s2
(B). d = 396 ft
A car driving on the turnpike accelerates uniformly in the positive x direction from 91.0 ft/s (62.0 mph ) to 123 ft/s (83.9 mph ) in 3.70 s.
(A) What is the x-component of the car's acceleration?
(B) How far does the car travel while it accelerates?
(A). v = 2.43 m/s
A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 7.80 m to the bottom of the incline is 3.80 m/s.
(A) What is the speed of the block when it is 3.20 m from the top of the incline?
(A). v = 34.2 m/s
You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown.
(A) What is the speed of the rock just before it reaches the water 29.0 m below the point where the rock left your hand? Ignore air resistance.
(A). x = 14.3 m
A small object moves along the x-axis with acceleration ax(t) = −(0.0320m/s3)(15.0s−t). At t = 0 the object is at x = -14.0 m and has velocity v0x = 4.70 m/s.
(A) What is the x-coordinate of the object when t = 10.0 s?
(A). h = 54.8 m
A brick is dropped from the roof of a tall building. After it has been falling for a few seconds, it falls 45.0 m in a 1.00-s time interval.
(A) What distance will it fall during the next 1.00 s? Ignore air resistance.
(A). d = 37.1 m
(B). d = 37.1 m
(C). Vtruck = 15.9 m/s
(D). Vcar = 25.7 m/s
A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2. The automobile overtakes the truck after the truck has moved 60.0 m.
(A) How much time does it take the car to overtake the truck?
(B) How far was the car behind the truck initially?
(C) What is the speed of the truck when they are abreast?
(D) What is the speed of the car when they are abreast?
(A). T = 6.68 s
During your summer internship for an aerospace company, you are asked to design a small research rocket. The rocket is to be launched from rest from the earth's surface and is to reach a maximum height of 940 m above the earth's surface. The rocket's engines give the rocket an upward acceleration so it moves with acceleration of 16.0 m/s2 during the time T that they fire. After the engines shut off, the rocket is in free fall. Ignore air resistance.
(A) What must be the value of T in order for the rocket to reach the required altitude?
(A). Aavg = 3.2 m/s2
The human circulatory system is closed - that is, the blood pumped out of the left ventricle of the heart into the arteries is constrained to a series of continuous, branching vessels as it passes through the capillaries and then into the veins as it returns to the heart. The blood in each of the hearts four chambers comes briefly to rest before it is ejected by contraction of the heart muscle.
The contraction of the left ventricle lasts 250 ms and the speed of blood flow in the aorta (the large artery leaving the heart) is 0.80 m/s at the end of the contraction.
(A) What is the average acceleration of a red blood cell as it leaves the heart?
(A). v = 17.9 m/s
(B). h = 16.3 m
(C). v = 0 m/s
(D). a = 9.80 m/s^2
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point a distance 33.0 m below its starting point at a time 5.00 s after it leaves the thrower's hand. Air resistance may be ignored.
(A) What is the initial speed of the egg?
(B) How high does it rise above its starting point?
(C) What is the magnitude of its velocity at the highest point?
(D) What is the magnitude of its acceleration at the highest point?
(E) What is the direction of its acceleration at the highest point?
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