Refer to this situation: A 3000kgtruck moving rightward with a speedof 5km/hr collides head-on with a1000kg car moving leftward with aspeed of 10 km/hr. Two vehiclesstick together and move with thesame velocity after the collision.What is the velocity of the truckbefore the collision in m/s?а. 3.5b. 3.2c. 2.8d. 1.4

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Answered: Refer to this situation: A 3000kg truck…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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42. On a roller coaster ride, your speed in a loop depends on the height h of the preceding hill and the radius of the loop in feet. The equation y = loop. Suppose a loop has a radius of 25 feet and you want the car to have a velocity of 25 ft/s at the top of the loop. How high should the preceding hill be? 8-/h - 2r gives the velocity v in feet per second of a car at the top of the a. 60 feet b. 30 feet С. 50 feet d. 200 feet ribiw ert el lerW mo 0e ai rignal orfT :( +S) 2i ribiw ali ol pridnisq s to rignsal ert) to cuE1 srTT
You are in the African savanna, having rented a vehicle to explore. You got out of your vehicle, and went out walking. Unfortunately, you spot a lion running toward you, at 10 m/s. Fortunately, it's in the opposite direction from your car. The lion is 130 meters from you, and you are 80 meters from the car. Lion --------------------------> You ----------------> Car You run toward your car at 4 m/s, cursing your habit of locking the car door whenever you got out. If you reach the car, it will take you three seconds to fumble with the keys and unlock it and get in and slam the door shut. Show your work to answer the question. "Do you escape or are you dinner?"
Give detail solutions for the given equation.
1. A tower is 500 m tall. A ball is thrown downward at an initial velocity of 2 m/s. The height of the ball (measured in metres) above the ground after t seconds is given by the formula h=500-2t-5t². (round off answers to 1 decimal place if necessary) a) Find the velocity of the ball after 3 seconds. b) Find the acceleration of the ball after 5 seconds.
2/13/2021 D. 1.354 × 1024 kg 8. Which of the following equations are true? Select all that apply. 4.2 ×106 A. 2.1 x102 = 2 x 104 B. (7.2 × 106)(2.1 × 104) = 1.512 × 1011 4.1 ×107 C. 6 x103 = 6.8 × 101 D. (8.0 × 104)(2.0 × 107) = 8.2 × 1011 (3.6 × 10³)(2.5 × 10³) = 6 × 10° 9. Select the box in each row to identify the scientific notation that is e %3D E. 6.76 × 10-4 6.76 x 106 6.76 X 0.026 ·(2.6 × 10®) 0.026 (2.6 × 10-2)
Assume the bug is currently standing at the point (-10,5). What is the temperature at the bugs current location? At what rate does the temperature change in the x-direction at the point (−10, 5)? At what rate does the temperature change in the y-direction at the point (−10, 5)? The bug's body is dangerously close to its maximum temperature, and needs to cool down quickly.In what direction should Flareon move from the point (−10, 5) so that the temperature decreases most rapidly?At what rate does temperature change in this direction?
What is the difference between an object with constant acceleration and an object with constant speed?
two pounds of meat (y) will serve eight people (x). Which equation of direct variation describes this situation?
If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is your speed relative to the ground?
The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?
10. Suppose a stone is dropped from the observation deck of the Space Needle in Seattle, 160 meters above the ground. How long will it take for the stone to hit the ground? (You will need to know that the acceleration of gravity is a = -9.8 meters per second?.)
Two objects, A and B, both with a mass of 2 kg, collide. The velocities before the collision are ViA =15i + 30j m/s, ViB = - 10i + 5j m/s, (3) (4) After the collision, object A has a final velocity VJA = -5i + 20j m/s. (5) What is (a) the final velocity of B? and (b) the change in the total kinetic energy of the system (including sign)?

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