The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The initial velocity of the object is v(0)=−1v(0)=-1 m/s. Round your answers to four decimal places. v(t) = -7cos(t) + 6 The objects displacement from time 0 to 3 is:   17.01216 meters Find the total distance traveled by the object from time 0 to time 3.

Q: A beetle walks along the ground going to the east at 0.200km/hr  for 1.000min., then he stops and…

A: Given data: The speed at which the beetle moves for the first t1 time, v1=0.200 km/hr. The time…

Q: The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial…

A:

Q: A car travels 64.70 +/- 0.50 meters in 8.650+/-0.05 seconds. What is its speed in m/s? Answer must…

A: Given data: The distance traveled by car is D=64.70 +/-0.5 m. The time taken is t=8.650+/-0.05 s.

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 displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

Q: The following data were taken on five cars traversing a 1.6-km highway. Car…

A: Write the expression for the traffic density. Here, N represents the number of vehicles and L…

Q: ong x-axis is defined by v=s3-4s2+6s where v is in m/s and

A:

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: 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 car traveled on a straight road, and it is found on the certain milestones (distance x) after a…

A: Solution: Let us calculate the velocity at different intervals of time. Time and distance traveled…

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: A rabbit runs across a parking lot. The coordinates of the rabbit's position (in meter) are given by…

A: Consider the x-coordinate of the rabbit’s position. On differentiating the above equation with…

Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: (a) You travel from position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes. What is your…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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 is thrown from a level field with initial upward speed 17 m/s and forward speed 9.9 m/s.…

A:

Q: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

A:

Q: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows:  The object is thrown straight up. The initial velocity, u = 17 m/s

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

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: An object's position can be modeled with the following function: s(t) = 2cos(2πt) +t^2, where t is…

A:

Q: Given the quantities a = 4.3 m, b = 9.2 s, c = 45 m/s, what is the value of the quantity d = Number…

A:

Q: car is traveling at an unknown velocity. It accelerates constantly over 5.0s at a rate of…

A: GIVEN -     time (t)  = 5 sec     acceleration (a) = 3 m/s2     final velocity ( v ) = 30 m/s…

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: The position-time graph that describes the motion of an object is given as in the figure below. if…

A:

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: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

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: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: An object moves along the x-axis so its x-coordinate obeys the equation x=at² + bt+c, where a = 11,…

A:

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

A:

Q: Pedro is driving a motorcycle along Espana boulevard. His position X (in meters) at any given time t…

A: Pedro's position is given by, xt=1.124t2+6.022 Pedro's initial position will be when t=0.…

Q: The velocity of an object in one- dimensional motion is v(t) = (3.00 t + 5.00 t2) m/s, where t is…

A: Acceleration is nothing but the rate of change of velocity i.e change is velocity per time. So in…

Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Given data:  Position vs time graph Required: The average velocity for segment A, B and C

Q: The speed S (m/mi-) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one…

A: The speed of the object is given by the expression s=6t2+2t+3 where t is in minutes. After t=1 min…

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

A:

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: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

A:

Q: Ex. 2. A car driver in northern Ontario makes the following displacements: Ad₁= 15.0 km [W 30.0°N]…

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 –