(a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7i + 3j m/s2 for a period of 4 s. After this time the velocity is V2 = 6i - 2k m/s. What was the initial velocity?

Q: The motion of a particle is given by the relation a = 6t, where tis in sec and a in m/s2. If s = 8m…

A:

Q: The coordinate of an objec is given as a function of time by.x(1)=7t-3t2, where in meter and t in…

A: Given, Position, x(t)=7t-3t2

Q: The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t…

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: A spaceship is traveling at a velocity of v0 = (37.3 m/s)i when its rockets fire, giving it an…

A: Data Given ,  Initial velocity ( V0 ) = ( 37.3 i ) m/s Acceleration ( a ) = ( 2.55 i + 4.19 k ) m/s2…

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: n object undergoes acceleration 1.2i+2.4j m/s2 for 4.5 s at which time its velocity is 21i+11j m/s.…

A:

Q: A model rocket shot straight upward with an initial velocity of vo = 25 m/s will reach a height of h…

A: Given data: Initial velocity of rocket, vo=25 m/s Height, ht=-4.9t2+25t

Q: The coordinate of an object is given as a function of time by x(1)=7t-312, where.x in meter and t in…

A: It is given that, x(t)=7t-3t2

Q: pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can…

A:

Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

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: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

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: As a train accelerates away from a station, it reaches a speed of 4.6 m/sm/s in 5.3 ss. If the…

A:

Q: A particle's position along the x-axis is given by the equation;   x(t) = 1t^4 − 2t^1 + 8 where ?x…

A:

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

A:

Q: The acceleration of a particle is given by a = 2t - 15, where a is in meters per second squared and…

A:

Q: A car starts moving at 60 mi/hr. After some time, the car speed reduces to 40 mi/hr and stays there…

A: Let's denote the time the car moved at 60 mi/hr as t (in hours). Then, the time the car moved at 40…

Q: The distance s(t), in meters, is given as a function of time, in seconds, below.…

A:

Q: A man decided to ride his car at 10 kph for the first 5 seconds. He then accelerates at 1 m/s for…

A: Given that:- speed of car and it's acceleration in different interval of time is given.

Q: A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k =…

A: Given Acceleration a = ksn k = 1.190 n = 0.731 final speed v = 1.75 m/s

Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: what is the magnitude of the acceleration for an object starts with velocity ( 2i + 3j) m/s and…

A: Initial velocity of the object u→=2i^+3j^ (m/s) and final velocity of the object v→=13i^+7j^ (m/s),…

Q: An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She…

A: Answer..

Q: Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis.…

A:

Q: x (m) Position as a function of time t = 4.00 s 40 20 (s) 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6…

A: Position time, velocity time and acceleration time graph are given.

Q: An object moving along the x-axis at x=0 has a velocity of 50 m/s and is accelerating. When the…

A: given        object moving in x direction       at x= 0 m      ,     velocity (u) = 50 m/s       at…

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 startled armadillo leaps upward, rising 0.589 m in the first 0.219 s. (a) What is its initial…

A:

Q: A train has an initial speed of 10 m/sec. It is picking up speed with an acceleration of 6 m/sec/sec…

A:

Q: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

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 +…

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 –