1.In one dimensional motion, instantaneous speed v satisfies
0 ≤ v < v0.
(a) The displacement in time T must always take non-negative
(b) The displacement x in time T satisfies – vo T < x < vo T.
(c) The acceleration is always a non-negative number.
(d) The motion has no turning points (choose the correct option and also explain how to solve)
2.The displacement of a particle is given by x = (t – 2)2 where x is in
metres and t in seconds. The distance covered by the particle in
first 4 seconds is
(a) 4 m
(b) 8 m
(c) 12 m
(d) 16 m (choose the correct option and also please explain how to solve)
3.At a metro station, a girl walks up a stationary escalator in time t1.
If she remains stationary on the escalator, then the escalator takeher up in time t2. The time taken by her to walk up on the moving
escalator will be
(a) (t1 + t2)/2
(d) t1–t2 (choose the correct option and also explain how to solve)
4) a student score is 83 and 91 on her first two quizzes. write and solve a compound inequality to find possible values for a thord quiz score that would give anverage between 85 and 90. a. 85≤83+91+n/3 ≤90;
The height (in feet) of a small weight oscillating at the end of a spring is h(t) = 0.5 cos(2t) where t is in seconds, 0 ≤ t ≤ 5. (This is calculus. Use radians!) (a)Calculate the weight’s average velocity over the
Can the size of an object's displacement be greater than the distance the object travels? Describe the motion represented by a horizontal line on a distance-time graph. Explain whether, during a trip, a car's instantaneous speed
a weight of mass m is attached to a spring and oscillates with simple harmonic motion. By Hooke's Law, the vertical displacement, y(t) satisfies the differential equation dy/dt=sqrt(k/m)*sqrt(A^2-y^2) where A(Fixed) is the maximum