Question
A particle moves along the x-axis so that its acceleration at any time t is at \(a(t)=2t-7 \) . If the initial velocity of the particle is 6, at what time t during the interval 0 ≤ t ≤ 4 is the particle farthest to the right?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer/Explanation
Ans:B
Question
At t = 0 a particle starts at rest and moves along a line in such a way that at time t its acceleration is \(24t^{2}\) feet per second per second. Through how many feet does the particle move during the first 2 seconds?
(A) 32 (B) 48 (C) 64 (D) 96 (E) 192
Answer/Explanation
Ans:A
The particle is always moving to the right, so distance 
Question
The acceleration α of a body moving in a straight line is given in terms of time t by α= −8 6t . If the velocity of the body is 25 at t =1 and if ( ) s t is the distance of the body from the origin at time t, what is (4)-s(2)?
(A) 20 (B) 24 (C) 28 (D) 32 (E) 42
Answer/Explanation
Ans:D
Question
If the velocity of a particle moving along the x-axis is \(v(t )=2t-4\) and if at t = 0 its position is 4, then at any time t its position \((x)t\) is
(A) \(t^2-4t\) (B) \(t^2-4t-4\) (C) \(t^2-4t+4\) (D) \(2t^2-4t\) (E) \(2t^2-4t+4\)
Answer/Explanation
Ans:C
