When a train is traveling along a straight track at 2m/s, it begins to accelerate at a = (60v¬4) m/s², where v is in m/s. Determine its velocity v and the position 3 sec after the acceleration.
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- At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of f(t)=−4.9t^2+50t+3 m. How long is the tomato in the air?The position of a particle moving along the x axis is given by x(t) = (4.99 m) - (3.83 m/s)t. What is the displacement (in m) of the particle between t = 3.00 s and t = 6.00 s?A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components v₁ = 0 and "x Vy = 6.8 m/s. The particle has acceleration components of ax = -3.2 m/s² and = 0. ay (a) What are the x and y positions of the particle, in meters, at t = 4.0 s? X = y = Vx Vy m (b) What are velocity components of the particle, in m/s, at t = 4.0 s? m/s m/s = m (c) How does the speed of the particle change from t = 0 to t = 4.0 s? O The particle's speed remains constant. O The particle's speed decreases with time. O The particle's speed increases and then decreases with time. O The particle's speed increases with time.
- A proton initially has = (-9.20)î + (8.00)î + (−9.20) and then 6.20 s later has 7 = (−19.0)î + (8.00)Ĵ + (−16.0)Â (in ✓ meters per second). (a) For that 6.20 s, what is the proton's average acceleration a avg in unit vector notation, (b) in magnitude, and (c) the angle between a avg and the positive direction of the x axis? (a) Number (b) Number (c) Number i pada Units Units i k UnitsTaking north to be the positive y direction and east to be the positive x direction, a particle's position is given byr(t) = (20.2m/s)t^i+(5.15 m/s2)t2^jAt what time, in seconds, is the particle traveling exactly northeast?A treasure hunter follows a map moving 25 km [N], 37 km [W 37 degrees S], 63 km [E 65 degrees S] and finally 15 km [N 17 degrees E]. If his average for the entire trip was 45 km/hr, calculate: a. The total time for the trip; and b. The average velocity of the trip
- A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a speed of 185 mi/h in 3.00 s. what is the acceleration (m/s^2) and the distance the plane moves assuming constant acceleration.A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t= 0s, the x components of the puck's initial velocity and acceleration are Vox = +1.4 m/s and a, = +7.5 m/s2. The y components of the puck's initial velocity and acceleration are Voy =+9.2 m/s and a, = -6.4 m/s?. Find (a) the magnitude v and (b) the direction 8 of the puck's velocity at a time of t= 0.50 s. Specify the direction relative to the +x axis. (a) v= i (b) 0 = degrees the +x axisA puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis
- A particle's velocity is described by the function vx = t^2− 10t+7m/s, where t is in s How many turning points does the particle reach.A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axisA particle leaves the origin with an initial velocity 3.00î m/s and a constant acceleration ở -1.00î – 0.50ĵ m/s². When it reaches its maximum x coordinate, what are its (a) velocity and (b) position vector?