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A particle moves x axis according to the equation x A particle moves along the x axis according to the equation x = 2.00 + 3.00t – 1.00t 2, 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 […]

A salamander of the genus Hydro-mantes captures prey by launchin A salamander of the genus Hydro-mantes captures prey by launching its tongue as a projectile: The skeletal part of the tongue is shot forward, unfolding the rest of the tongue, until the outer portion lands on the prey, sticking to it. Figure shows the acceleration […]

A rocket-driven sled running on a straight, level track is A rocket-driven sled running on a straight, level track is used to investigate the effects of large accelerations on humans. One such sled can attain a speed of 1600 km/h in 1.8 s, starting from rest. Find (a) The acceleration (assumed constant) in terms of […]

A runner runs 2.5 km in 9 min and then A runner runs 2.5 km in 9 min and then takes 30 min to walk back to the starting point. (a) What is the runner’s average velocity for the first 9 min? (b) What is the average velocity for the time spent walking? (c) What […]

Raindrops if the effects Raindrops if the effects of the air acting on falling raindrops are ignored, then we can treat raindrops as freely falling objects. (a) Rain clouds are typically a few hundred meters above the ground. Estimate the speed with which raindrops would strike the ground if they were freely falling objects. Give […]

A flowerpot falls from the ledge of an apartment building. A flowerpot falls from the ledge of an apartment building. A person in an apartment below, coincidentally holding a stopwatch, notices that it takes 0.2 s for the pot to fall past his window, which is 4 m high. How far above the top of […]

Passing the driver of a car wishes Passing the driver of a car wishes to pass a truck that is traveling at a constant speed of 20.0 m/s (about 45 mi/h). Initially, the car is also traveling at 20.0 m/s and its front bumper is 24.0 m behind the truck’s rear bumper. The car accelerates […]

On a dry road, o car with good tires may On a dry road, o car with good tires may be able to brake with a constant deceleration of 4.92 m/s2. (a) How long does such a car, initially traveling at 24.6 m/s, take to stop? (b) How far does it travel in this time? […]

If vav = 0 for some time interval Δt, must the instantaneou If vav = 0 for some time interval Δt, must the instantaneous velocity v be zero at some point in the interval? Support your answer by sketching a possible x-versus-t curve that has Δx = 0 for some interval Δt. Is this the […]

Suppose that a particle moves in a straight line such Suppose that a particle moves in a straight line such that, at any time t, its position, velocity, and acceleration all have the same numerical value. Give the position x as a function of time. Is this the question you were looking for? If so, […]