A small metal particle passes downward through a fluid medium while being subjected to the attraction of a magnetic field such that its position is observed to be = (15 - 3) mm, where is measured in seconds. Determine (a) the particle's displacement from = 2 s to = 4 s, and (b) the velocity and acceleration of the particle when = 5 s.

s = 114 mm, v = 1122 mm/s, a = 450 mm/s

s = 834 mm, v = 1122 mm/s, a = 450 mm/s

s = 114 mm, v = 1122 mm/s, a = 450 mm/s

s = 114 mm, v = 450 mm/s, a = 1122 mm/s

s = 834 mm, v = 450 mm/s, a = 1122 mm/s

Explore topic-wise MCQs in Engineering Mechanics.

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mechanics knowledge and support exam preparation. Choose a topic below to get started.

1.	A particle is moving along a straight line through a fluid medium such that its speed is measured as = (2) m/s, where is in seconds. If it is released from rest at = 0, determine its positions and acceleration when = 3 s.
A.	s = 9 m, a = 2 m/s
B.	s = 2 m, a = 18 m/s
C.	s = 18 m, a = 2 m/s
D.	s = 2 m, a = 9 m/s
Answer» B. s = 2 m, a = 18 m/s

Discussion

2.	A boat is traveling along a circular path having a radius of 20 m. Determine the magnitude of the boat's acceleration if at a given instant the boat's speed is = 5 m/s and the rate of increase in speed is = 2 m/s.
A.	a = 2.00 m/s
B.	a = 2.36 m/s
C.	a = 1.25 m/s
D.	a = 12.50 m/s
Answer» C. a = 1.25 m/s

Discussion

3.	A small metal particle passes downward through a fluid medium while being subjected to the attraction of a magnetic field such that its position is observed to be = (15 - 3) mm, where is measured in seconds. Determine (a) the particle's displacement from = 2 s to = 4 s, and (b) the velocity and acceleration of the particle when = 5 s.
A.	s = 834 mm, v = 1122 mm/s, a = 450 mm/s
B.	s = 114 mm, v = 1122 mm/s, a = 450 mm/s
C.	s = 114 mm, v = 450 mm/s, a = 1122 mm/s
D.	s = 834 mm, v = 450 mm/s, a = 1122 mm/s
Answer» B. s = 114 mm, v = 1122 mm/s, a = 450 mm/s

Discussion

4.	A car is traveling at a speed of 80 ft/s when the brakes are suddenly applied, causing a constant deceleration of 10 ft/s. Determine the time required to stop the car and the distance traveled before stopping.
A.	t = 8 s, s = 800 ft
B.	t = 8 s, s = 320 ft
C.	t = 4 s, s = 240 ft
D.	t = 4 s, s = 40 ft
Answer» C. t = 4 s, s = 240 ft

Discussion

Explore topic-wise MCQs in Engineering Mechanics.

A particle is moving along a straight line through a fluid medium such that its speed is measured as = (2) m/s, where is in seconds. If it is released from rest at = 0, determine its positions and acceleration when = 3 s.

A boat is traveling along a circular path having a radius of 20 m. Determine the magnitude of the boat's acceleration if at a given instant the boat's speed is = 5 m/s and the rate of increase in speed is = 2 m/s.

A car is traveling at a speed of 80 ft/s when the brakes are suddenly applied, causing a constant deceleration of 10 ft/s. Determine the time required to stop the car and the distance traveled before stopping.