Mechanical Engineering Science 2
Linear Velocity and Acceleration
Assignment 1- Kinematic Equations: 42 points
1. Write out the Nine (9) kinematic Equations including the derivation for those that were
derived in class. (12 points)
2. Define the terms: (8 points)
a. Kinematics
b. Distance
c. Displacement
d. Velocity
e. Acceleration
f. Deceleration
g. Rectilinear motion
h. Instantaneous velocity
3. What is required to specify the position of an object? (1 point)
4. At a given instant, the velocity of a body is 10 m/s, and it is moving with a constant
acceleration of 4 m/s2. (6 points)
a) How far will the body travel in the next 5 seconds?
b) What will then be its velocity?
c) How far will it have travelled when its velocity is 12 m/s?
5. A car at a given instant has a speed of 20 meters per second. It is given a uniform
retardation of 2.5 m/s2 until its speed is reduced to 10m/s. Determine the time taken in
reducing the speed and the distance in meters the car has travelled during the retardation.
(4 points)
6. A car travels with a uniform velocity of 20 m/s. The driver applies the brakes and the car
comes to rest in 10 second. Calculate the retardation. (2 points)
7. An aircraft is 500 m above the ground and moving at a constant velocity of 150 m/s
upwards. How high above the ground is the ship after 5 seconds? (2 points)
8. A bike first accelerates from 0.0 m/s to 5.0 m/s in 4.5 s, then continues at this constant
speed for another 4.5 s. What is the total distance traveled by the bike? (4 points)
9. A car traveling at 20 m/s when the driver sees a child standing in the road. He takes 0.80
s to react, then steps on the brakes and slows at 7.0 m/s2 . How far does the car go before
it stops? (3 points)