1 answer

Problem 1 You and your family are going to Graceland, via interstate. After a stop in...

Question:

Problem 1 You and your family are going to Graceland, via interstate. After a stop in San Diego, you begin accelerating uniformly from rest along an entrance ramp. At 7s into this acceleration, your little brother hits the start button on a stopwatch he is playing with. When the stopwatch reads 3s, you enter the freeway and begin cruising at a constant 100Km kim (a)What is your acceleration along the ramp, in meters per second per second (SI units)? (b)How long is the ramp? (c)How fast were you going when your brother hit the start button on his stopwatch? (d)How far along the ramp were you when your brother hit the start button?

Problem 1 You and your family are going to Graceland, via interstate. After a stop in San Diego, you begin accelerating uniformly from rest along an entrance ramp. At 7s into this acceleration, your little brother hits the start button on a stopwatch he is playing with. When the stopwatch reads 3s, you enter the freeway and begin cruising at a constant 100Km kim (a)What is your acceleration along the ramp, in meters per second per second (SI units)? (b)How long is the ramp? (c)How fast were you going when your brother hit the start button on his stopwatch? (d)How far along the ramp were you when your brother hit the start button?

Answers

Initial velocity,u = 0m /s

total time taken for acceleration ,t10s

final velocity ,u = 100km/ hr = 27.78m / s

(a)

Use Formula v=u+at

27.78m/s = 0m/s+ a * 10s

27.78 0 + 10a

ANSWER: a2.778m (l

=============

(b)

Use Formula sut +1/2at2

s = 0m/s * 10s+ 0.5 * 2.778m/s2(10s)2

0100.5 2.778 10

ANSWER: s138.9m

============

(c)

Use Formula v=u+at

v_{7}=0m/s+2.778m/s^{2}*{color{Blue} 7s}

ANSWER: {color{Red} v_{7}=19.446m/s=70km/hr}

===========

(d)

Use Formula sut +1/2at2

s_{7}=0m/s*10s+0.5*2.778m/s^{2}(7s)^{2}

s0 100.5 2.778 7-

ANSWER: {color{Red} s_{7}=68.06m}

=====================

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