Pablo and Jacob are running a half marathon. Jacob is d = 55 m behind Pablo and both are running at the same speed of s = 3.7 m/s. At a particular moment, Jacob begins to accelerate forward at a constant rate of a = 0.069 m/s2. Write an expression for the distance Jacob traveled as he was accelerating to catch Pablo in terms of variables from the problem statement

A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 712 m, in a time tf = 163 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?

An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 3.06 cm. If its x-coordinate 2.15 s later is −5.00 cm, what is its acceleration? _____cm/s2   A ball is thrown directly downward with an initial speed of 7.45 m/s, from a height of 30.3 m. After what time interval does it strike the ground? _______s A small mailbag is released from a helicopter that is descending steadily at 2.78 m/s. (a) After 3.00 s, what is the speed of the mailbag? v = ______m/s (b) How far is it below the helicopter? d = ______m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 2.78 m/s? v=______m/s d=______m   A model rocket is launched straight upward with an initial speed of 44.0 m/s. It accelerates with a constant upward acceleration of 1.00 m/s2 until its engines stop at an altitude of 200 m. (a) What can you say about the motion of the rocket after its engines stop? (b) What is the maximum height…

A distance of 60 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis accelerate at a constant rate of 0.2 m/s2 towards each other.Starting at a midpoint between the two jetskis, a porpoise is seen swimming from one jetski to the other at a constant speed of 16 m/s. The porpoise continues swimming back and forth between the jetskis until they crash together.a) What is the total distance the porpoise travelled? b) what is the speed of the jetskis when they crash together?

A rocket is initially at rest on the ground. It is launched straight up. As long as the rocket has fuel, it accelerates upwards at a constant rate a. After a time t₁, the rocket uses up its fuel and its engine abruptly stops. Find the maximum height reached by the rocket.

A particle moves along the x axis according to the equation x = 2.10+ 2.96t - 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.90 s. m (b) Find its velocity at t = 2.90 s. m/s (c) Find its acceleration at t = 2.90 s. m/s²

Can an object have a negative acceleration and be speeding up? If so, describe a possible physical situation and a corresponding coordinate system. If not, explain why not.

At a moment when a rocket is 1120 m above the ground, it is traveling straight upward with a speed of 955 m/s. At this instant a small piece detaches from the rocket and begins freefall travel. 1. a) Find the velocity of the piece the instant before it hits the ground. b) Find the time required for it to reach the ground.

A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 to t2 = 11.0 s, the rhino's average velocity has x-component - 4.20 m/s and y-component 5.10 m/s.  a. At time t2 = 11.0 s what is the x-coordinate of the rhino? b. At time t2 = 11.0 s what is the y-coordinate of the rhino? c. How far is the rhino from the origin?

Two cars are leading toward one another. Car A is moving with an acceleration of a = 4 m/s² i. Car B is moving with a constant acceleration ab = -2 m/s2 i and initial velocity of VB = -60 m/s i since it started. The cars are initially separated by a distance d = 900 m on the x-axis and car A is initially at rest. At what distance from the initial position of A do car A and car B meet? A. 200 m B. 400 m C. 300 m D. 500 m E. 600 m ΟΑ OB OC OD SOE K