1. Starting from a pillar, you run 200 m east (the +x-direction) at an average speed of 5.0 m/s, and then run 280 m west at an average speed of 4.0 m/s to a post. Calculate (a) your average speed from pillar to post and (b) your average velocity from pillar to post.
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- An automobile travels on a straight road for 40 km at 30 km/hr speed. It then continues in the same direction for another 40 km at 60 km/hr speed. What is the average velocity of the car during the full 80 km trip? (Assume that it moves in the positive x direction)3. A car travels along a straight line at a constant speed of 60.0 km/h for a distanced and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 30.0 km/h. (a) What is the constant speed with which the car moved during the second distance d? (b) Suppose the second distance d were traveled in the opposite direction, because the driver forgot something and had to return home (i). What would be the average velocity for this trip? (ii) What is the average speed for this new trip? 4. A particle is launched in the air with a velocity of 25 m/s at angle of 60° about the horizontal. Find the maximum horizontal range as well as the maximum height reached by the particle 5. The motion of a particle undergoing a uniformly accelerated motion is captured during each 2 seconds. It was observed that during the fourth and the tenth periods, the particle traveled 200 m and 500 m respectively. Determine: The acceleration of the particle 2.…The velocity and acceleration of an object at a certain instant are 3 = (3.0 m/s)j ä = (5 m/s²)î At this instant, the object is Ospeeding up and moving in a straight line. speeding up and following a curved path. slowing down and following a curved path. moving with constant speed and following a curved path. slowing down and moving in a straight line.
- #13. A ball is thrown upwards at 13.0 m/s toward the ceiling located 6 m above the point where you release the ball. Air resistance is negligible. Objects falling near the earth's surface with no forces acting except gravity have a downwards acceleration of magnitude g. For this problem use g = 10 m/s². Write any equation you use in symbolic form before substituting in numbers. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. Find the time taken to reach the ceiling. Find the velocity just before the ball touches the ceiling. C.3. The velocity of a particle, traveling along the x-axis, as a function of time is given by v,(t) = 2.00 m/s + (3.00 m/s*)f®, where t is in seconds. At t= 3.00 s, find (a) the acceleration of the particle, and (b) the position of the particle if at t = 0 s it was located at x = 2.00 m. %3!
- 1. A particle moves along the x axis according to the equation x = 2 +9t - 3t², where x is in meters and t is in seconds. At t = 3.00 s, find .... (a) the position of the particle, (b) its velocity, and (c) its acceleration (10pts)Usually, Tony travels to Bunbury from Perth city in 2.50 hours. One day he increases his average speed by 12.0 km/h and takes 22.5 minutes less time to reach Bunbury. (a) What was his usual average speed? What was the distance travelled? (b) On the way he stopped at a rail crossing (6.00 m wide) and a train (total length 144m) decelerating at -0.585 ms2 just entered the crossing with a velocity of 13.7 m s¹. Sketch a diagram and find the minimum time for the last carriage of the train to clear the crossing.Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. a) Find the squirrel’s velocity, in meters per second, just before hitting the ground when it falls from a height of 1.3 m. Ignore air resistance. b) The squirrel softens its landing by bending its legs when it touches the ground, thereby stopping itself over a distance of 7.6 cm. Assuming a constant rate of deceleration, find the squirrel’s acceleration during this process, in meters per second squared.
- Could I have help with this average speed and velocity problem. I already know the answers"average velocity = 2.7 m/s due east, average speed = 8.0 m/s" but I need a detailed explanantion on how and why because I am not understanding and getting the same answersA cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, = 6.8 m/s? and a, = -1.5 m/s2. Its initial velocity has components Vox = 7.3 m/s and voy = 12.4 m/s. In unit-vector notation, what is the velocity of the cart when it reaches Number Units#2