#1) Let's say an object (pick your favorite object) moves along the x - axis with the following velocity as a function of time given as, vx(t) = (a + 7B t4 - 5y t³+ 38 t²), where a, ß, y, and 8 are just constants. (A) Determine an expression for the acceleration of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (B) Determine an expression for the position of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (C) Now, given that a = 3.00 m/s, B = 15.0 m/s5, y = 12.0 m/s4, and 8= 9.00 m/s³ At t = 0.00 s, x = 500.0 m. What is the X - position of the object when t = 2.00 s? Report answer to 4 sig figs Show your work and how the units cancol

#1) Let's say an object (pick your favorite object) moves along the x - axis with the following velocity as a function of time given as, vx(t) = (a + 7B t4 - 5y t³+ 38 t²), where a, ß, y, and 8 are just constants. (A) Determine an expression for the acceleration of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (B) Determine an expression for the position of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (C) Now, given that a = 3.00 m/s, B = 15.0 m/s5, y = 12.0 m/s4, and 8= 9.00 m/s³ At t = 0.00 s, x = 500.0 m. What is the X - position of the object when t = 2.00 s? Report answer to 4 sig figs Show your work and how the units cancol

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 34PE: In World War II, there were several reported cases of airmen who jumped from their flaming airplanes...

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In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot's speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of 3.0 m.
Calculate the displacement and velocity at times of (a) 0.500, (b) 1.00, (c) 1.50, (d) 2.00, and (e) 2.50 s for a rock thrown straight down with an initial velocity of 14.0 m/s from the Verrazano Narrows Bridge in New York City. The roadway of this bridge is 70.0 m above the water.
Find the following for path B in Figure 2.59: (a) The distance traveled. (b) The magnitude of the displacement from start to finish. (c) The displacement from start to finish.
Consider the following combinations of signs and values for the velocity and acceleration of a particle with respect to a one-dimensional x-axis: Velocity Acceleration a. Positive Positive b. Positive Negative c. Positive Zero d. Negative Positive e. Negative Negative f. Negative Zero g. Zero Positive h. Zero Negative Describe what the particle is doing in each case and give a real-life example for an automobile on an east-west one-dimensional axis, with east considered the positive direction.
A blue car of length 4.52 m is moving north on a roadway (hat intersects another perpendicular roadway (Fig. P2.81, page 58). The width of the intersection from near edge to far edge is 28.0 m. The blue car has a constant acceleration of magnitude 2.10 m/s2 directed south. The time interval required for the nose of the blue car to move from the near (south) edge of the intersection to the north edge of the intersection is 3.10 s. (a) How far is the nose of the blue car from the south edge of the intersection when it stops? (b) For what time interval is any part of the blue car within the boundaries of the intersection? (c) A red car is at rest on the perpendicular intersecting roadway. As the nose of the blue car enters the intersection, the red car starts from rest and accelerates east at 5.60 m/s2. What is the minimum distance from the near (west) edge of the intersection at which the nose of the red car can begin its motion if it is to enter the intersection alter the blue car has entirely left the intersection? (d) II the red car begins its motion at the position given by the answer to pan (c), with what speed does it enter the intersection?
A car is traveling east at 25.0 m/s when it turns north and accelerates to 35.0 m/s, all during a time of 6.00 s. Calculate the magnitude of the car's average acceleration. (See Section 3.3.)
The three graphs in Figure 2.13 represent the position vs. time for objects moving along the x-axis. Which, if any, of these graphs is not physically possible? Figure 2.13 (Quick Quiz 2.4) Which position vs. time curve is impossible?
Using approximate values, calculate the slope of the curve in Figure 2.62 to verify that the velocity at t=30.0 s is 0.238 m/s. Assume all values are known to 3 significant figures.
At t=0 an object starts from the origin and moves with a constant acceleration of a→=(−3.2i−2.7j)m/s2 on a horizontal surface. If the initial velocity of the object is vo→=(14.1i−18.3j)m/s, determine the magnitude of velocity at t=2.1s. Express your answer in units of m/sm/s using zero decimal places.
‘The motion of a particle is defined by the relation velocity, and the acceleration of the particle when t t4 - 413 +3t - 2, where x and t are expressed in feet and seconds, respectively. Determine the position, the s
Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line, where t is in seconds and s is in meters. a) Determine the interval when the car is moving to the left. b) Determine the car’s position relative to the origin at the instant if the acceleration is 4 m/s^2 . c) Determine if the speed of the car is increasing or decreasing at t = 4.5 seconds? d) Calculate for the total distance traveled by the car during the first 5 seconds.
Answer only if you are 1000% sure,Do not guess. 1) A ball is thrown vertically upwards when it reaches the height maximum, it is fulfilled: A. Both velocity and acceleration are zero. B. Its velocity is zero and its acceleration is not zero C. Its velocity is not zero and its acceleration is zero D. Its velocity is not zero and its acceleration is not zero. E. Velocity and acceleration cannot be determined, information is needed additional.