A particle is moving eastwards with velocity of 5 m/sec. In 10 sec the velocity changes to 5 m/sec northwards. What is the average acceleration and direction? V2 = 5 m/sec V1 = 5 m/ sec
Q: A particle has an initial velocity of 5.00 m/s and it moves along the x-axis. Its acceleration is…
A: Acceleration is the rate of change of velocity a = dv/dt
Q: An object is moving at 5 m/s at a time t= 1 s, after t= 5s it is moving at 25 m/s. What is the…
A:
Q: Shown is a velocity-versus-time graph for a particle moving along the x-axis. At t = 0 s, assume…
A:
Q: If you run in a straight line at a constant speed of 6 m/s, how far do you travel in 3 seconds? 18…
A:
Q: A particle moves along the x-axis according to the equation x(t) = 2.0 − 4.0t2 m. What are the…
A:
Q: A ball moves and its motion is represented by following equation: x=30+ 40t+ 60t^2+40t^3 a) Find…
A: SOlution: Given that position equation x=30+ 40t+ 60t^2+40t^3
Q: Velocity of a particle is as given in the figure. What is the displacement of the particle from t =…
A: Given data: The graph between velocity and time Required: The displacement of the particle from t =…
Q: A particle confined to motion along the x axis moves with constant acceleration from x 2.0 m to x…
A: Given data: Displacement (d) = 6.0 m Time (t) = 2.5 s Final velocity (v) = 2.8 m/s Required:…
Q: 67. mmh A snowmobile moves according to the velocity-time graph shown in the drawing. What is the…
A:
Q: A particle moves along the x axis according to the equation x = 1.91 + 3.01t – 1.00t2, where x is in…
A:
Q: A particle moves along the x-axis according to the equation x 2+3t- t? where x is in meters and t is…
A: Given data: Equation of Position of the particle x = 2 + 3t - t2 Required: The acceleration at t =…
Q: Position of a particle moving along the x-axis varies in time according to the following expression…
A: Given Position of the the particle with respect to time is given x(t)=2.0 t2-5.0 t+8.0 m…
Q: A car is moving with uniform acceleration. it covers 200 m in 2 sec and 220 m in next 4 sec. the…
A:
Q: A cart is given an initial velocity of 5.0 ms and experiences a constant acceleration of 2.0 m's.…
A:
Q: An object is moving in a straight line with constant acceleration. Initially it is traveling at 16…
A: Given that:- Initial velocity of an object=16m/s
Q: A particle travels along the path y² = 4x with a constant speed of v = 4 m/s. Determine the x and y…
A:
Q: The velocity of a particle as a function of time is given by v( t) = (2.3 m/s) + (4.1 m/s 2) t -…
A:
Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…
A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…
Q: A particle moving at constant acceleration has velocities of 2.0 m/s at t = 2.0 s and −7.6 m/s at t…
A:
Q: m (0.5") t?where x is in m The motion of a particle along the x-axis is described by the equation v=…
A: The average acceleration in a time interval Δt = t2-t1 is defined as, aavg=v(t2)-v(t1)(t2-t1) The…
Q: Given the velocity versus time graph. At what times is the acceleration zero? 5 4. 3 2 1 -1 -2- v…
A:
Q: A student walks to the right, 25 meters along the hallway in15 seconds. The student turns around and…
A: Given data: Displacement (d1) = 25 m, to the right Time (t1) = 15 s Displacement (d2) = 15 m, to…
Q: A car moves according to the velocity-time graph shown in the drawing. What is the car's average…
A: Slope of velocity time graph gives the acceleration.
Q: An object is moving North with a velocity of 12 m/s. It accelerates at a rate of 3 m/s2 for 10…
A:
Q: The figure represents the velocity of a particle as it travels along the x-axis. At what value (or…
A:
Q: A cart is given an initial velocity of 7.6 m/s and experiences a constant acceleration of 7.6…
A: Given Initial velocity (u) = 7.6 m/s Acceleration (a) = 2m/s2 Time (t) = 8sec
Q: A westward moving bicycle slows down from 10.0 m/s to 4.0 m/s in 3.0 seconds. What is the magnitude…
A:
Q: A car changes direction in 3.2 s while driving from V1 = 6.2 m/s [E 300 S] to V2 = 8.2 m/s [E 300N).…
A: Write a given values of this question. ∆t=3.2sV1=6.2m/sV2=8.2m/s
Q: The position versus time for a certain particle moving along the x axis is shown in Figure P2.3.…
A: Given data: The position of the particle at 0 sec from graph is x0=0 m. The position of the…
Q: Initially, an automobile is heading due north at a speed of 28m/s. What is the car's velocity after…
A: Given : vo = 28 m/s t = 6 seconds a = 4 m/s2
Q: The motion of a particle along the x-axis is described by the equation v= (3m/s2)t + (0.5m/s3)t2…
A:
Q: Karim rides his bike with velocity v = ( 8.4 m/s, 25° north of east. for 10 minutes. How far to the…
A: Given data: Velocity (v) = 8.4 m/s, 25° north of east Time (t) = 10 minutes = 600 seconds…
Q: A physics teacher walks 5 km East, 2.5 km South, 5 km West, and finally 2.5 km North. The entire…
A: The solution can be given as :- Average speed=total distancetimeAverage velocity=total…
Q: suppose you takes you 6 seconds to walk 12 meters down the hallway . what would be your average…
A: Required :: Suppose you takes you 6 seconds to walk 12 meters down the hallway . what would be…
Q: The motion of a particle is given by x = A sin3(ωt). Enter an expression for the particle's…
A:
Q: A body is moving in a straight line as shown in velocity-time graph. The displacement and distance…
A:
Q: A super ball dropped from rest falls 2 meters vertically downward and rebounds 2 meters upward in a…
A: The ratio of the total distance to the total time taken is the average speed. The ratio of the…
Q: A particle moves along the x axis according to the equation x = 1.93 + 2.96t – 1.00t2, where x is in…
A:
Q: An object moved from x = 2.0 m to x = 9.0 m in 1.5s undergoing constant acceleration of 0.50…
A:
Q: An airplane has a velocity ofv=(5m/s)i+(4m/s)jatt1=3s. For the time interval from t1=3s to t2=13s…
A:
Q: Over a period of 2.50 seconds, a speedboat accelerates uniformly from 18.5 m/s to 46.5 m/s. What is…
A: Initial speed of the boat is u = 18.5 m/s Final speed of the boat is v = 46.5 m/s Acceleration time…
Q: An object moving with uniform acceleration has a velocity of 14m/s in the positive x direction when…
A:
Q: 67. mmh A snowmobile moves according to the velocity-time graph shown in the drawing. What is the…
A: Required Average acceleration in A, B and C
Q: A deer is running along the horizontal direction with a constant velocity of 19.1 m/s. The moment…
A: Solution: given that speed of dear = 19.1 m/s speed of tiger = 4.8 m/s t = 13.9 s to find the…
Q: A car is moving along a straight road with an initial velocity of v= 14 m/s and an acceleration, a=9…
A:
Q: This graph shows the position of a particle as a function of time. What is its instantaneous…
A:
Q: equation x(t) = 2.0 − 4.0t 2m describes the motion of a particle that moves along the x-axis. What…
A: Velocity is displacement per unit time v = dx/dt Acceleration is the rate of change of velocity a…
Q: An object travels non-uniformly along the r-axis. This object's position-versus-time graph is shown…
A: Speed at an instantaneous point is given by the slope of tangent of the curve at that point . We can…
Q: A player kicks a soccer ball straight up into the air. The ball takes 2.0 s to reach its highest…
A: Scenario - Soccer player kicks ball straight in air with certain velocity. Given : Time taken to go…
Q: An electron is accelerated from rest to 3.0 × 106 m/s in 5.0 × 10−8 s. What distance does the…
A: Given, Initial velocity of electron u = 0 Final velocity of electron v = 3 x 106 m/s Time t = 5 x…
Step by step
Solved in 2 steps
- 2. A body moves in a straight line so that its acceleration is a=3v, where a is in m/s? and v in m/s. If s=3m when v=1.2 m/s, find: a. v in terms of s b. The values of the velocity and acceleration when s=10m7. The motion of the particle is given by a = 10t – t2 , a is in m/s² and t is in sec. How far will it move %3D - before starting to reverse its motion. Draw the a-t, v-t and s-t curve up to this time. Ans. 1406.25 m.8. Instantaneous velocity. A bird is flying due east. Its distance from a tall building is given by x(t) = 28.0m + (12.4m/s)t(0.0450m/s³)t3 . What is the instantaneous velocity at t = 8.0s. Derivatives: if e is constant and n is an integer (1,2,3,4,5,6...): d dt d c=0 =c+n=t"-1
- 2. An object moves along the x-axis with its position measured relative to the origin so that its acceleration at anytime t > 0 is 4 m/s² . The initial velocity is -50 m/s. a. Determine the instantaneous velocity at anytime t. b. What is its velocity after 10 seconds? 15 seconds? b) - 10 m/s ; 10 m/s 10 m/s ANS: a) v(t) = 4t – 506. A pitcher takes 0.10 s to throw a baseball, which leaves his hand with a velocity of 30 m/s. The ball’s acceleration during the throw was _________. a. 300 m/s^2 b. 30 m/s^2 c. 3000 m/s^2 d. 3 m/s^2 Explanation and solution10. A particle moves along a straight line with an acceleration of a = 5/(3s3 + s32) m/s, where s is in meters. Determine the particle's velocity when s = 2 m, if it starts from rest when s 1 m. Use a numerical method to evaluate the integral. Ans. v= 1.29 m/s
- 5. The x-location and y-location of a particle are described by the following equations, where x and y are in meters and time is in seconds: x = 4e-t y = 2 + 8e -2t a. What is the equation of the particle's path in the x-y plane? b. What are the (x,y) coordinates of the particle at time=0 and as time → ∞o? c. What is the speed of the particle at time=0?Problem 1 A cannon ball on the ground is fired at 35 with an initial velocity of 250 m/s. a. How long will it take to hit the ground? b. How far from the cannon ball will it hit the ground? c. Compute for maximum height to be reached by the cannon ball. Given: V. - 250 m/s 35 g- 9.8" Solution: a. The time of flight of the cannon ball 2v, sin 500m/s(sin 35°) 500m/s(0.57) _ 28Sm/s = 29.08s 9.8m/x 9.8m/s 9.8m/s b. The range of the cannon ball v, sin 0 (250m/s) 2 sin 35° 62500m2/s 2(0.57) 9.8m/s R 9.8m/ s 62.500m /s(0.9397) 58,730.79m /s? 9.8m/s 5,992.94m 9.8m/s c. The maximum height that the cannon ball reached v sin 0 (250m/s)²(sin 35")(sin35") 62.500m /s²(0.57) 2(9.8m/s) Утах 28 19.6m/s 62,500m² /s²(0.32899 20,561.87m /s- 1,049.08m 19.6m/s 19.6m/s This time, it's your turn to solve the next problem. Problem 2 An arrow is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. 10 a. How long will it take to hit the ground? b. How far from the…4. The acceleration of a particle is given by a = Avt where A = 2.0 m/s5/2. At t = 0, v = 7.5 m/s and x = 0. What is the displacement at t = 5.0 s? a =AVt %3D On nhiect has velocity Yo (t) = 31+1î 31+1i m/s at time t = 0.00 s. The acceleration of the
- 1. A stone is thrown vertically upward from the ground with a velocity of 15 m/sec. One second later, another stone is thrown vertically upward with a velocity of 30 m/sec. a. When will the stones be at the same level? Ans. t = 1.4 sec b. How far above the ground will the stones be at the same level? Ans S =11.4 m c. Determine the time the second stone travelled until the stones are at the same level? Ans. t2 = 0.4 sec Show your Diagram/illustration. And indicate the formula used and given value.1. A stone is thrown vertically upward from the ground with a velocity of 15 m/sec. One second later, another stone is thrown vertically upward with a velocity of 30 m/sec. a. When will the stones be at the same level? Ans. t = 1.4 sec b. How far above the ground will the stones be at the same level? Ans S =11.4 m c. Determine the time the second stone travelled until the stones are at the same level? Ans. t2 = 0.4 sec Please indicate the formula and what to find given value.1. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is 4m/s. Find the velocity (in m/s) after 6s. 2. A particle moves in accordance with the equation a = 24 – 6t2. When t = 0, v = 20m/s. Find the maximum positive velocity (in m/s).