Express your answer using twosignificant figures. The Starship Enterprise return

Question

Express your answer using twosignificant figures.


The Starship Enterprise returns from warp drive to ordinary spacewith a forward speed of 60 Km/s . To the crew's great surprise, a Klingonship is 130 km directly ahead, traveling in the samedirection at a mere 20 Km/s . Without evasive action, the Enterprisewill overtake and collide with the Klingons in just about3.3 s . The Enterprise's computers react instantly tobrake the ship. What magnitude acceleration does theEnterprise need to just barely avoid a collision with the Klingonship? Assume the acceleration is constant. Hint: Draw a position-versus-time graphshowing the motions of both the Enterprise and the Klingon ship.Let x0 = 0 km be the location of theEnterprise as it returns from warp drive. How do you showgraphically the situation in which the collision is barelyavoided ? Once you decide what it looks like graphically, expressthat situation mathematically. Express your answer using twosignificant figures.

Explanation / Answer

The speed of the starship Enterprise should be zero within thedistance between starship Enterprise and Klingon ship,therefore,weget v2 - u2 = 2aS or a = (v2 - u2/2S) v = 0,u = 60 km/s = 60 * 103 m/s and S = 130 km =130 * 103 m or a = (02 - (60 * 103)2/2 *130 * 103) or a = -1.384 * 104 m/s2 The negative value of acceleration indicates that the speed ofstarship Enterprise decreases with time. The negative value of acceleration indicates that the speed ofstarship Enterprise decreases with time.

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