A swan on a lake gets airborne by flapping its wings and running on top of the water. a) If the swan must reach a velocity of 6.96 m/s to take off and it accelerates from rest at an average rate of 0.4 m/s², how far will it travel before becoming airborne?

An initially motionless test car is accelerated uniformly to 135 km/hr in 8.08 seconds before striking a simulated deer. The car is in contact with the faux fawn for seconds, after which the car is measured to be traveling at 87.5 km/hr. What is the magnitude of the average acceleration of the car during the collision?

The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m stretch was a sizzling 6.509 s, at which he commented, “Cogito ergo zoom!” (I think, therefore I go fast!). In 2001, Sam Whittingham beat Huber’s record by 19.0 km/h. What was Whittingham’s time through the 200 m?

Two people each kick identical balls at the same angle. Person A kicks it at three times the speed of person B. How many times higher does A's ball go than B's? 0 3 O 0.33 O 4

A car is traveling with a constant speed along a road that has a form of a square. The car starts at the beginning of one side of the square and covers two and a half sides. The speed of the car is 50 miles / hour. What is its average velocity? Please provide step by step & clear solution!

The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2     20.0 m/s^2

Cities A and B are connected by a straight road of total length 200 miles.Two cars depart cities A and B at the same time, moving towards each other. The A-car travels at 60 miles per hour, and the B-car at 40 mph. At the same time, a fly starts off from the front bumper of the A-car flying at 100 mph. It flies towards city B until it touches the bumper of the B-car, and then flies back, touches the A-car, flies back, etc, until the cars collide and the fly is squashed. The standard trick question is - what is the total distance traveled by the fly? At first sight one would think that the problem should be solved by the series summation, but that’s not necessary - the cars meet after 2 hours, and during that time the fly traveling at 100 mph covers exactly 200 miles. Now that you know the answer, solve this problem using the series summation [1].

At a soccer practice, the players run sprints. They start at the goal, run 10 m toward the center of the field and then run back to the goal. Then they run 20 m toward the center of the field and back to the goal. Finally they run 30 m toward the center of the field, turn around, and run back to the goal again. One player times herself to try and beat her personal best time. She runs the first 10 m in 2.5 s and gets back to the goal in 2.8 s. Then she runs the 20-m sprint in 5.7 s and gets back to the goal in 6.7 s. She runs the final 30-m sprint in 12 s and gets back to the goal in 15 s. Define the positive direction as forward, toward the center of the field and consider what a position versus time graph of her motion would look like. Rank the sprints according to their slopes on the position versus time graph, from steepest positive slope to steepest negative slope. Rank from steepest positive slope to steepest negative slope. To rank items as equivalent, overlap them.

The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 57 km/s. lo the crow's great surprisc, a Klingon ship is 150 km directly ahead, traveling in the same direction at a mere 21 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 4 5s The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant Hint: Draw a position versus time graph showing the motions of both the Enterprise and the Klingon ship. Let æn - 0km be the location of the Interprise as it returns from warp drive I low do you show graphically the situation in which the collision is "barely avoided"? Once you decide what it looks like graphically, express that situation mathematically. Express your answer to two significant figures and include the appropriate units. a = μA Value m s² Review |…

A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway,          What is the time interval needed to come to rest (in seconds)?