Chapter 2, Problem 2Q

Sally is driving along a straight highway in her 1965 Mustang. At t=0, when she is moving at 10m/s in the positive x direction, she passes a signpost at x = 50m. Her acceleration as a function of time is a = 2.0 m/s^2 - 0.10t (m/s^2) a) Deduce the expression for its velocity and position as a function of time. b) At what time is the velocity maximum? c) What is the speed? d) Where is the car when it reaches that speed?

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t)=96t at which time the fuel is exhausted and it becomes a freely "falling" body. 19 seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -16 ft/s in 5 s. The rocket then "floats" to the ground at that rate. At what time does the rocket reach its maximum height? And what is that height?

In 2.2 s, a particle moving with constant acceleration along the x axis goes from x = 19 m to x = 56 m. The velocity at the end of this time interval is 13 m/s. What is the acceleration of the particle?

An object is moving with constant non-zero velocity in the + x direction. The position versus time graph of this object is     a horizontal straight line.     a vertical straight line.     a straight line making an angle with the time axis.     a parabolic curve.

A motorcyclist heading east through a small town accelerates at a constant 4.9 m/s/s after he leaves the city limits (See figure). At time t = 0 s, he is 5.3 m east of the city-limits signpost, moving east at 27 m/s. Where is he when his velocity is = 37 m/s?

Referring to the figure, a truck drives a distance d=30.1m in the positive x direction in a time t1=17.2s, at which point the truck brakes, coming to rest in t2=8.13s.  Part A: What is the truck's average velocity in the horizontal direction, in meters per second, during the t1 time period? Part B: Assuming the truck started from rest and moved with a constant acceleration, what was the acceleration, in meters per suqared second, during the time interval t1? Part C: What was the truck's instananeous velocity in the horizontal direction, in meters per second, when it began braking? And using the result from the previous answer, what was the truck's horizontal component of acceleration, in meters per squared second, during the braking period?  Please explain how you got your answer in detail.

The acceleration of a particle as it moves along a straight line is given by a = (2t – 1) m/s², where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t= 6 s. Also, determine the total distance the particle travels during this time period.

An object moves in along the x-axis with an acceleration given by: a = 9t (m/s2). The position of the object at t=0.0 is 5 m, and its velocity at t=0.0 s is 7 m/s. Calculate the position at t=8 s.

A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns south and walks at a speed of v2 = 0.53 m/s. Take north to be the positive direction.  If the student travels in the stated directions for 30.0 seconds at speed v1 and for 20.0 seconds at speed v2, what is the net displacement, in meters, during the trip?  If it takes the student 5.0 s to reach the speed v1 from rest, what is the magnitude of the student’s average acceleration, in meters per second squared, during that time?