Reference no: EM131194777
1) The velocity of an object is given by v(t) = 9t2 - 4t + 6. At t = 1 s the position of the object is at 10 m. Calculate the acceleration equation and position equation for the object.
2) Derive the equation, v2 = v02 + 2aΔx, by combining the other two main motion equations given in class.
3) Mitch is riding a stolen recumbent bicycle at a constant velocity of 40 m/s. At some point in time, he applies the brakes which make the recumbent slow to a stop over a period of 5.0 s.
(a) What is the acceleration of the bicycle?
(b) How far does the bicycle travel before coming to a stop?
4) A Cessna Jet (call number 90-RC) has a lift-off velocity of 120 km/hr. The runway that 90-RC takes off from is 240 m long.
(a) What is the minimum acceleration that the jet has to have in order to take off before it reaches the end of the runway?
(b) How long does it take for 90-RC to take off?
5) A train is traveling at 100 m/s. The engineer applies the brakes because he sees a recumbent bicycle on the tracks ahead. The brakes cause an acceleration of -2.2 m/s2. The engineer applies the brakes when the train is 960 m from the bicycle. How long does it take the train to reach the bicycle?
6) An object has a position equation of
x(t) = -2/3t3- 4t2 +6t + 4 .
(a) At what times does the object have a velocity of zero?
(b) What is the location of the object when its acceleration is zero?'
7) While chasing Mitch for destroying his bicycle. Skid does the following in his Pinto:
1. He starts from rest and accelerates at 0.6 m/s2 for 15 s.
2. Travels at a constant velocity for 2 minutes.
3. Slows to a stop with an acceleration of -0.75 m/s2.
What is the total distance that Skid travels?
8) A juggling bag is thrown straight up into the air and is caught 2 s later.
(a) What is the initial velocity of the ball?
(b) Calculate the maximum height that it reaches.
9) A coyote with and anvil falls off of a high cliff. Luckily the coyote has a parachute. The chute opens and they both fall at a constant velocity of 10 m/s. When they are 50 m above the ground, the coyote drops the anvil.
(a) How long does it take the anvil to hit the ground?
(b) What is the velocity of the anvil right before it hits the ground?
10) Mitch is skydiving. He Jumps out of a plane and reaches a terminal velocity (constant velocity) of 20 m/s. When he is 1000 m above the ground, Skid, standing directly below Mitch, fires a rocket launcher at Mitch. The rocket has an initial velocity of 125 m/s.
(a) How much time does Mitch have to figure out how to survive this predicament?
(b) Assuming Mitch does not have his wits about him, at what location above the ground will the rocket intersect with him?
|
Find the tensile stress in the bolts and compressive stress
: The figure shows a steel pressure cylinder of diameter 4 in which uses six SAE grade 5 steel bolts having a grip of 12 in. These bolts have a proof strength (see Chap. 8) of 85 kpsi for this size of bolt. Suppose the bolts are tightened to 90 perc..
|
|
Different types of economies and economic conditions
: Consider the different types of economies and economic conditions associated with them. Which type of economy is most beneficial for organizations and why?
|
|
Calculate the magnitude of fault current
: If a fault from one phase to earth occurs on the far end of the feeder, Calculate the magnitude of fault current. - Calculate line to neutral voltage at the generator terminal.
|
|
Explain how do you think about freedom in your life
: How do you think about freedom in your life? What art forms (music, visual art, the arts broadly) do you think convey freedom in your personal sense?
|
|
How long does it take the anvil to hit the ground
: Mitch is skydiving. He Jumps out of a plane and reaches a terminal velocity (constant velocity) of 20 m/s. When he is 1000 m above the ground, Skid, standing directly below Mitch, fires a rocket launcher at Mitch. The rocket has an initial velocit..
|
|
How many boxes can be placed on the raft
: how many boxes can be placed on the raft if the books are to remain dry? Assume that the water remains calm.
|
|
Employs a budget plan over several fiscal
: The federal government employs a budget plan over several fiscal years that results in significant increases in the national debt, with no relief or plans to deal with the problem.
|
|
Assume that an individual engages in behaviors
: Assume that an individual engages in behaviors that are in conflict with their stated religious beliefs, and they experience dissonance. What impact might this have on their beliefs? What might allow people to productively resolve that dissonance?
|
|
What is an institutionalized gang
: What is an "institutionalized gang" and why do gangs develop permanent presence in a community? How is "doing gender" linked to living in an uncertain global world
|