An object is moving at a constant velocity of 2.0 m/s due east from t = 0 s to t = 2 s. The object starts accelerating from t = 2 s, and its speed increases until t = 6 s at the rate of 0.4 m/s2.   (a) What is the displacement of the object from t = 0 s to t = 2 s?  (b) What is the displacement of the object from t = 2 s to t = 6 s?  (c) What is the velocity of the object at t = 6 s?    If the object slows down at the rate of 0.8 m/s2 from t = 6 s until it stops, (d) how long does it take the object to come to stop (velocity is 0 m/s)?  (e) what is the total displacement from t = 0 s to the time the object stops?

Q: The acceleration of a particle is defined by the relation a= -kvv, where k is a constant. Since it…

A: When a object is in motion the speed of that object can calculate with relation to time. Hence the…

Q: George, the absent-minded professor, drives his car 5.0 miles due east along a straight road to the…

A:

Q: Starting at x = - 18 m at time t = 0 s, an object takes 15 s to travel 41 m in the +x direction at a…

A:

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

A:

Q: An object moves along the positive x-axis with a speed of V, =4 m/s for 2 seconds, then moves along…

A: Given: The velocity V1 is 4 m/s. The time duration is 2 s. The velocity V2 is 7 m/s. The time…

Q: Based on the velocity and time graph given  how far does the object move in the interval from t=0…

A:

Q: Part (a) What is the velocity at time 5.6 s? Part (b) What is the acceleration at time 16.8 s? Part…

A: a) Velocity at the time 5.6s=10 m/s b) Acceleration from Velocity- time graph time=16.8 s velocity…

Q: Problem 22:   A rock takes 2.85 s to hit the ground when it is thrown straight up from the cliff…

A:

Q: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a…

A: Given that displacement of Honda Civic is given by: x(t) = at^2 - bt^3 Where a = 1.50 m/s^2 and b =…

Q: At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A: Velocity and displacement.

Q: 6. A graph of v(t) is shown for a lion in the figure. (a) What is the lion's average velocity for…

A: Average velocity = area under the curve from t =0 to t=4 sec..Average velocity = .

Q: An object is moving in the x-direction with some initial velocity. After a time of 4.06 seconds, the…

A:

Q: Rectilinear Motion: A particle travels in v = (13 - 4t^2) m/s, where t is in seconds. When t = 1 s,…

A:

Q: The velocity of an object moving along the x-axis is given in m/s by v(t) = t2 − 6t + 8, where t is…

A:

Q: An object moves along the x-axis according to the equation x(t) = (3.00 ² -2.00 +3.00) m, where t is…

A:

Q: Traveling with an initial speed of 70 kph, a car accelerates at 6000 km/hr2 along a straight road.…

A: Given Data: The initial speed of the car is: u=70 kph The acceleration of the car is: a=6000 km/hr2…

Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

A:

Q: An object on a number line moved from x = 12 m to x = 124 m andmoved back to x = 98 m. The time…

A: Given,  Initial position of the object = X1 = 12 m Then the object moved to position 2, X2 = 124 m…

Q: A motorist drives north for 41.0 minutes at 67.0 km/h and then stops for 15.0 minutes. He then…

A: @ first 41 minutes, t1= 41min = 41/60 hours = 0.683333333 hours v1= 67 km/hr Therefore,…

Q: he velocity vx (in m/s) of an object is given by the equation vx = 4t + 3, where t is the time in…

A: Equation of velocity of object is; vx=4t+3 Part A: Displacement of object is calculated by…

Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

A:

Q: The elevator starts on the first floor then accelerates 2.46 ft/ss for 5 sec and continues for 12…

A: Acceleration of the elevator a=2.46 ft/s2 Time for which the elevator is accelerated t1=5 s The…

Q: To deter speeding through a residential area, the Police set up a speed trap on Illusion Drive.…

A: Given Speed limit is v= 30 mph=13.41 m/s Distance is d=50 m

Q: 5, Shaudia drives her car east for 35.0 minutes at 80.0 km/h and then stops for 15.0 minutes. She…

A:

Q: Starting at x = - 17 m at time t = 0 s, an object takes 17 s to travel 55 m in the +x direction at a…

A:

Q: he velocity (v) in metres per second of an object in terms of the time (t) in seconds is given by:…

A: Given: The equation of the velocity of the object is. v=-10t2+9…

Q: The motion of a particle is governed by a relation a = 2t squared, where acceleration (a) is in ft…

A:

Q: Compute your average velocity in the following two cases: (a) You walk 60.3 m at a speed of 1.37 m/s…

A: GIVEN      walk for 1.00 min  a speed of 1.37 m/s then run for 1.89 min at 3.16 m/s along a straight…

Q: In this graph of displacement versus time, what is the average velocity in going from point B to…

A: Average velocity = (final position - initial position)/time taken  Final position (point J) =1m…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: The distance traveled in the original direction is given by: distance = speed x time = 640 mi/h x…

Q: An airplane covers a straight-line distance of 8.59 km in 30 .1 s, during which time it has a…

A:

Q: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s˄2 until it…

A: We will split the problem into three parts and then solve for the traveled distance.

Q: The position of an object moving along an x axis is given byx= 3.18 t-4.04 +1.03 t, where x is in…

A: Given Data :Position of the object as a function of time is given as x(t) = (3.18)×t - (4.04)×t2 +…

Q: A runner competes in a 1500 meter straight-line race. The runner completes the first 650 meters in…

A: The equation for the magnitude of velocity is given by velocity=Distance travelledtime taken  (1)…

Q: A particle has a displacement given by the equation x(t) = 3.0 + 2.0t, where x is in meters and t is…

A:

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –