Answered: a) How long does it take him to catch…

a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at a constant speed.) (b) How far has he traveled in that time?

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A skateboarder starts from rest atop a slope that is 20.0 m long and accelerates uniformly 2.60 m/s per second down the slope. (a) What is the position of the skateboarder 3.00 s later? (b) What is the speed at that point? (c) How much time overall is needed to go down the slope?
2.73. An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.10 m/s², and the automobile an acceleration of 3.40 m/s². The automobile over- takes the truck after the truck has moved 40.0 m. (a) How much time does it take the automobile to overtake the truck? (b) How far was the automobile behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Take x = 0 at the initial location of the truck.
An astronaut on the Moon (g=1.62 m/s2) throws a rock from the ground level with a speed of 32.1 km/h directly upwards. Determine the time after which the rock reaches the height equal to three quarters of its maximum height on the way down.Provide your answer with the precision of two places after the decimal.
PROBLEM STATEMENT: A truck carries a crate which can slide. Suppose the truck and crate are traveling to the right at an initial velocity of v0 and the distance between the front of the crate and the front of the trailer is d0. The brakes are applied and the truck decelerates with constant acceleration and stops in time ts. a.) Express the truck's acceleration aT < 0 in terms of velocity and stopping time. MY ANSWER: From the equation of motion: v = v0+at 0=v0-ats a=v0/ts I'm pretty sure this is correct. b.) Assume the truck brakes hard enough that the crate slides to the right relative to the truck. The coefficient of friction (static and dynamic) is mu. Write the equations of motion for the crate, then express the relative acceleration of the crate with respect to the truck, ac/t before and after the truck stops. Express it in terms of the given quantities v0, ts, mu, and g. This is the part I am not so sure about. I'm not exactly sure how to approach this part.
A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who decided to give chase. It takes the trooper 4.6 seconds to turn on the 'blue lights' and get the 'at rest' PW5000 powered Dodge interceptor moving. Then 8.3 seconds more to accelerate to its top speed and 63 seconds more to catch up with the speeder 3.5 km down the highway from the trooper's parking spot. Determine the average speed of the Ferrari over this distance in km/hr
A driver is driving uphill. He maintained his throttle, causing his car to constantly decelerate as it is coming up the hill. The road going up the hill is 217 m long and it took him 8.8 seconds to get to the top of the hill. His speed has reduced to 22 m/s at that point. What was the car's acceleration (include a negative sign in your answer)? Hint: the initial position of the car can be set at the origin.
A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 2.00 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.44 m/S?, howlong does it take him to catch his opponent? (a) How long does it take him to catch his opponent?(Assume the player with the puck remains in motion at constant speed.)(b) How far has he traveled in that time?
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?
1. A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 12.0 m/s, skates by with the puck. After 3.00 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.00 m/s, (a) how long does it take him to catch his opponent and (b) how far has he traveled in that time 1. A stone is thrown from the top of a cliff with a velocity of 2.5 m/s and hits the ground 5.5 s later. How high is the cliff? 3. A jogger runs 7.3 km [W], then 4.8 km [S], and finally 2.9 km [E]. The entire trip takes 2.0 h to complete. Calculate the jogger's (a) (b) the total displacement average velocity 4. A plane leaves Toronto and flies with an airspeed of 685 km/h always pointing due East. A wind is blowing from the North at 68 km/h. (a) (b) What is the plane's velocity relative to the ground? What is the plane's displacement from Toronto after flying for 2.5 h? 5. A car is travelling at 26 m/s when it pulls out to pass a…
Let's assume that East Lake Road runs due East from the Boston Store in Erie, and there are mile markers along it ("Ten Miles from the Boston Store", etc.) A car starts at the 12 mile marker going East at 2 PM, turns around at the 20 mile marker at 3 PM, and stops at the 8 mile marker at 4 PM. What is the total displacement of the car from 2 PM to 4 PM, in miles? (Use "+" for East, and "-" for West) O +4 O-20 O +20 O -4 O none of the answers is correct
Suzie Lavtaski has reached the end of the ski slope and abruptly decelerates from 20 m/s to 4.56 m/s in 3.49 seconds. Determine Suzie's acceleration rate (in m/s2). (Note: your answer should be negative...) In a similar situation, Suzie Lavtaski abruptly decelerates at the end of a different ski run from 22.6 m/s to 3.73 m/s in 2.89 seconds. Determine the distance she moved (in m) during this braking period.
a van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it brakes coming to a rest in t2=8.33sa. what was the van's avergae velocity in the horizontal direction in m/s during the t1 time period?b.assuming the van started from rest and moved at a constant acceleration, what was the acceleration in m/s2 during the time interval t1?c. what was the van's instantaneous velocity in the horizontal direction in ms when it was braking?d. using the result from part c, what was the van's horizontal component of acceleration in m/s2 during the braking period?