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The position of an object moving along the x axis is given by x(t)=7.0t-3.0t^2 (with t in seconds, and x in meters).
A) What is the average velocity during the time interval from t=0.0 s to t=2.0 s?
B) What is the instantaneous velocity of the object at time t=1.0 s?
C) At what time does the object reach a maximal x position?
D) What is the instantaneous acceleration of the object at time t=0.0 s?
E) What is the average acceleration of the object from t=0.0 s to t=2.5 s?
Two protons are moving directly toward one another. When they are very far apart, What is the distance of closest approach?
a 30 year old women takes a trip on a rockect leaving her 30 year old brother behind. She travels at a speed of .8c and is gone for 20 years, how many years older/younger is she than her brother
The motion of the 3-in.-radius cylinder is controlled by the cord shown. Knowing that end E of the cord has a velocity of 12 in./s and an acceleration of 19.2 in./s^2, both directed upward, determine the acceleration (a) of point A, (b) of point B..
q1 = -2 ?C is at (-5cm, 3cm) and q2 = +8?C is at (0,0). Find the x component of the electric force exerted on q2 due to q1
A cylinder containing an ideal gas has a volume of 2.0m3 and a pressure of 1.0 x 105 Pa at a temperature of 300K. The cylinder is places against a metal block that is maintained at 900 k and the gas expands as the pressure remains constant until t..
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A 22 child slides down a 2.4 -high playground slide. She starts from rest, and her speed at the bottom is 1.9 What is the change in thermal energy of the seat of her pants?
A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 1.90 m/s2. Find coefficient of static friction between car and track from these data
A 27 pound meteorite struck a car, leaving adent 10 cm deep in the trunk. Ifthe meteorite struck the car with a speed of 250 m/s, what was the magnitude of its deceleration
A 20-kg child swings back and forth on a swing such that her height h in m from the ground as a function of x is described by: h(x) = 0.5 + 0.45x2 for -1.2 m ? x ? 1.2 m, What is the maximum potential energy of the child
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