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Unformatted text preview: Exam 1
ME 361, January 25, 2008 Name: Read each problem carefully. There are three pages and three problems, each worth 20
points. No calculator. Formula sheet is also attached. 1. (20 pts) The acceleration of the particle is deﬁned by the relation a =  2 v, where a is
expressed in m/s2 and velocity v in m/s. Knowing that at the time t = 0 the velocity of the
particle is 80 m/s, determine (a) the distance the particle will travel before coming to rest,
(b) velocity of the particle after 1 second. You may leave the answer as an unsimpliﬁed function. (all acts = M0 aa—QU
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/Qd3; j 0 so 95: 081) 2. (20 pts) A stone is thrown horizontally off a cliff 32 ft high
and at the same instant a second stone is hurled upwards with an initial velocity of 40 ft/s. (a) At what angle 9 should the
second stone be aimed to assure hitting the ﬁrst stone? (b)
How high above the ground will the stones collide? Assume g = 32 ft/sz. £71an by same. :Ll
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919 ' #0 (059? +(lkosfn9t ’Q—th pt ' 3. (20 pt) Car A is on a straight northsouth track moving south. This car was originally
moving at a speed of 30 ft/sec but is now speeding up at a constant rate so as to attain 9O
ft/sec in 10 seconds. Car B is on a circular track of radius 1000 ft. It is currently at the
westernmost point of the track moving south at speed 60 ft/sec and decreasing this speed
at a constant rate so as to bring the car to rest in 4 seconds. Find the acceleration of the A
with respect to B. Express your answer as a vector using i and j, Where i is a unit vector
pointing east and j is a unit vector pointing north. 4&0519
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 Spring '08
 Priezjev
 Acceleration, Velocity, constant rate, lkosfn9t ’Q—th pt, straight northsouth track

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