A rocket, initially at rest on the ground, accelerates straight upward with a constant acceleration of 50.0 m/s², until the fuel is used up after 6.70 s. What is the speed of the rocket at that moment? (Neglect air resistance.)
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- In a 100-rn race, the winner is timed at 11.2 s. The second-place finisher’s time Is 11.6 s. How far Is the second-place finisher behind the winner when she crosses the finish line? Assume the velocity of each runner is constant throughout the race.A motorcycle that is slowing down uniformly covers 2.0 successive km in 80 s and 120 s, respectively. Calculate (a) the acceleration of the motorcycle and (b) its velocity at the beginning and end of the 2-km trip.Calculate the height (in m) of a cliff if it takes 2.27 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.07 m/s. (b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed?
- Two ducks, Donald and Cassiopeia, are gliding gracefully toward eachother along a pond, in a straight line. Donald is initially moving at v =0.500 m/s, and begins accelerating at 0.100 m/s2 at t = 0 s. Cassiopeiamoves at a constant speed of v = 0.700 m/s. If they are initially separatedby 25.0 m, where will they collide? Take Donald’s initial position as theorigin. How long will it take for them to collide?A model plane flew 100 m in 25.0 s followed by another 240 m in an additional 60.0 s, whereupon it crashed into the ground. How far did it’s travel in total? How long was it in the air? What was its average speed?Consider two cars, a 700kg Porsche and a 600kg Honda Civic. The Porsche is speeding along at 40 m/s (mph) and the Civic is going half the speed at 20 m/s. If the two cars brake to a stop with the same constant acceleration, are either the amount of time required to come to a stop, or the distance traveled prior to stopping influenced by their initial velocity?
- A hockey player is standing on his skates on a frozen pondwhen an opposing player, moving with a uniform speed of 12m/s, skates by with the puck. After 3.0 s, the first player makesup his mind to chase his opponent. If he accelerates uniformlyat 4.0 m/s2, (a) how long does it take him to catch his opponent,and (b) how far has he traveled in that time? (Assumethe player with the puck remains in motion at constant speed.)Calculate the height of a cliff if it takes 2.35 s for a rockto hit the ground when it is thrown straight up from the cliffwith an initial velocity of 8.00 m/s. (b) How long would it taketo reach the ground if it is thrown straight down with the samespeedA spaceship is travelling at 55 m/s [E74S] when it fires its rockets, which provide an acceleration of 71 m/s2 [N40W] for 18 seconds. What velocity will the spaceship have after firing its rockets?
- An experimental rocket car starting from rest reaches a speed of after a straight 400-m run on a level salt flat. Assuming that acceleration is constant, (a) what was the time of the run, and (b) what is the magnitude of the acceleration?The problem I'm working on already provides the acceleartion. I need to find the average velocity. How do I do that?A dolphin in an aquatic show jumps straight up out of thewater at a velocity of 13.0 m/s. (a) List the knowns in thisproblem. (b) How high does his body rise above the water?To solve this part, first note that the final velocity is now aknown and identify its value. Then identify the unknown, anddiscuss how you chose the appropriate equation to solve forit. After choosing the equation, show your steps in solving forthe unknown, checking units, and discuss whether the answeris reasonable. (c) How long is the dolphin in the air? Neglectany effects due to his size or orientation