A spacecraft starts from rest, and makes a journey to a destination 355000 km from its starting point. It does so by accelerating at a constant rate of 14.76 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 14.76 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take?   a. 3 hr 20 min   b. 2 hr 43 min   c. 1 hr 56 min   d. 6 hr 41 min

At time​ t, the position of a body moving along the​ s-axis is s=−t^3+12t^2−36t m. a. Find the​ body's acceleration each time the velocity is zero. b. Find the​ body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=3.

Driving down the road at a speed of 23.9 m/s, you suddenly notice a fallen tree blocking the road a distance of 82.0 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.6 m in front of the tree?   a. 3.79 m/s^2   b. 3.48 m/s^2   c. 3.22 m/s^2   d. 7.58 m/s^2

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

Suppose that the gravitational acceleration on a certain planet is only 3.0 m/s2. A space explorer standing on this planet throws a ball straight upward with an initial velocity of 18 m/s. a. What is the velocity of the ball 4 seconds after it is thrown? b. How much time elapses before the ball reaches the highpoint in its flight?

4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24

A stone is thrown straight up from the edge of a roof, 650650 feet above the ground, at a speed of 1616 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec2−32ft/sec2, how high is the stone 55 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?

HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h.  a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?

1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.

Two trains are 900.0 kilometers apart. One is in Portland. The other is in San Francisco. They both begin traveling toward each other at the same time. The Portland train travels with an average velocity of 80.0 km/hr South. The San Francisco train travels North with an average velocity of 65.0 km/hr North.a. At what time will the two trains meet?b. How far away will they be from Portland when they meet?