An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.02 m/s. (a) How long after release of the first stone do the two stones hit the water? S (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction downward (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/s

Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.45 m/s, and the second a velocity of 4.20 m/s. (a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.) m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? O The first runner will win. O The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.) m

The smal archerfish Dength 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect. either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.40 m away, measured along a line at an angle of 30.0° above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 5.00 cm verticaly on its path to the target? 22.65 Your response is within 10% of the correct value. This may

Johnny comes across a river that is 252 meters wide. He sees that the water flows eastward with a uniform velocity of 1.10m/s. Johnny sees his friend Sarah start her boat at point A on the south bank and start to cross the river to point B which is on the other side. Suppose the trip takes 3 minutes. Figure out the velocity of sarah's boat with respect to a) Johnny who is stationary on the ground b) A floating goose that's moving with the water. N B W-E S Vriver = 1.1 m/s A 252 m

A rocket is fired at a speed of 86.0 m/s from ground level, at an angle of 31.0° above the horizontal. The rocket is fired toward an 7.92- Im high wall, which is located 16.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number i Units

A rocket is fired at a speed of 83.0 m/s from ground level, at an angle of 45.0° above the horizontal. The rocket is fired toward an 12.5-m high wall, which is located 21.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number i Units

A juggler throws balls straight up in the air. After the balls leave his hand and while it is in the air, explain WHY each of the following four statement is FALSE. Write the right answer. (a) The velocity of the ball is always in the same direction as it's acceleration. (b) The velocity of the ball is never in the same direction as it's acceleration. (c) The acceleration of the ball is zero. (d) The velocity of the pin is the same direction as it's acceleration on the way up.

A distance of 60 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis accelerate at a constant rate of 0.2 m/s2 towards each other.Starting at a midpoint between the two jetskis, a porpoise is seen swimming from one jetski to the other at a constant speed of 16 m/s. The porpoise continues swimming back and forth between the jetskis until they crash together.a) What is the total distance the porpoise travelled? b) what is the speed of the jetskis when they crash together?

Attempting to run out the clock in a basketball game, a player throws the ball straight up from height yo. An opposing player catches the ball coming down, at the same height. How much time was used up while the ball was in the air? [Data : yo = 1.20 m; maximum height of the ball = 7.32 m ] Submit Answer Tries 0/12

The position of a particle along the positive x-axis is given by the following function r = 1t3 +14t2 +4, find the speed of the particle at time t=17, where t is in seconds and r is in cm.  Recall that the velocity can be found by taking the derivative of the position vector.  Express your answer in cm/s.