MIET 2134: Engineering Dynamics (Semester 1)
Week 1
Tutorial Handout 1
Kinematics of Particles
▪ Rectilinear Motion
Problem 1
Car A starts from rest at t = 0 and travels along a straight road
Problem 4
A boy at point A attempts to throw a ball over the roof of a
with a constant acceleration of a = 1.8 m s
until it reaches a
barn such that it is launched at angle A = 40 . Determine
speed of 24 m s . Afterward it maintains this speed. Also, when
the minimum speed v A at which he must throw the ball so that
- Rectangular Coordinates-Projectile motion
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t = 0 , car B located 1800 m down the road is travelling it reaches its maximum height at point C over the roof. Also
toward A at a constant speed of 18 m s . Determine the find the distance d where the boy must stand so that he can
make the throw.
distance travelled by car A when they pass each other.
18 m/s
1800 m
Answer: Distance travelled by car A, s A = 960 m
Answer: d = 12.7 m
Problem 2
Car B is travelling a distance d ahead of car A . Both cars are
Problem 5
The missile at A takes off from rest and rises vertically to B ,
where its fuel runs out in 8 s . If the acceleration varies with
travelling at 20 m s when the driver of car B suddenly applies
time as shown, determine the missile’s height hB and speed
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brakes, causing his car to decelerate at 4 m s . It takes the
v B . If by internal controls the missile is then suddenly pointed
driver of car A 0.75 s to react (this is normal reaction time for 45 as shown, and allowed to travel in free flight, determine
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drivers). When he applies his brakes, he decelerates at 5 m s . the maximum height attained, hC , and the range R to where it
Determine the minimum distance d between the cars so as to crashes at D
avoid a collision.
Answer: d = 5.63 m
Problem 3
A motorcycle starts from rest and travels on a straight road with a
2
constant acceleration of 5 m s
for 8 s , after which it
maintains a constant speed for 2 s . Finally it decelerates at
7 m s 2 until it stops. Determine the total distance travelled and
the average speed.
Answer: S Total = 354 m & v avg = 22 .5 m s
Answer: R = 2983 m
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