A woman starts from her home at 9.00 am, walks with a speed of 7 km h-1 on a straight road up to her office 3.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 30 km h-1. Choose suitable scales and plot the x-t graph of her motion.

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 50.0 km/h, 12.0 min at 60.0 km/h, and 30.0 min at 40.0km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.km/h(b) Determine the distance between the initial and final cities along the route. km

A jetliner, traveling northward, is landing with a speed of 57.5 m/s. Once the jet touches down, it has 821 m of runway in which to reduce its speed to 13.8 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).

Question 7. A car drives horizontally off the edge of a cliff that is 68.3 m high. The police at the scene of the accident note that the point of impact is 153 m from the base of the cliff. How fast was the car traveling when it drove off the cliff? Ans: 40.98 m/s ic ambuba inajeni noTER m

In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t - 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds.When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(t). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?

At 5:11 p.m. in the highway and at the height of a town, a police patrol was traveling at a speed of 18.0 m / s towards the city, when the citizen's car approaches a speed of 94 mi / h towards the city.  After a reaction time of 0.800 seconds, the police start chasing the citizen with an acceleration of 5.00 m / s2.  Including the reaction time:  (a) How long does it take for the police patrol to reach the citizen?  (b) Indicate how far it reaches, from the moment the chase begins, and create a Position vs.  time graph, showing the two movements (that of the  citizen and the police patrol)

An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.     20,796 g s     10,398 g s     2,120 g s     1,060 g s

The motion of a particle is defined by the relation a=4t where t is in m/s^2 and t is in seconds. It is known that s=6m and v=3m/s when t=3 seconds. Find s and v when a=20m/s

A rocket is shot straight up in the air from the ground at a rate of 46 feet per second. The rocket is tracked by a rangefinder that is 427 feet from the launch pad. Let d represent the distance from the rocket to the rangefinder and t represent the time, in seconds, since "blastoff". Express d as a function of t.

Compute your average velocity in the following two cases: (a) You walk 64.0 m at a speed of 1.28 m/s and then run 64.0 m at a speed of 3.98 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.28 m/s and then run for 1.39 min at 3.98 m/s along a straight track.