1. A 52 kg student is standing on a 26 kg cart that is free to move in any direction. Initiaily the cart is moving with a velocity of 1.2 m/s [S] relative to the floor. The student then walks on the cart and has a net velocity of 1.0 m/s [W] relative to the floor. Using a vector diagram determine the final velocity of the cart.

You are going to toss a rock straight up into the air by placing it on the palm of your hand (youare not gripping it), then pushing your hand up very rapidly. You may want to toss an object intothe air this way to help you think about the situation. The rock is your object. For each part,determine the direction of ?⃗net.A. As you hold the rock at rest on your palm, before moving your hand.B. As your hand is moving up, but before the rock leaves your hand.C. One-tenth of a second after the rock leaves your hand.D. After the rock has reached its highest point and is not yet falling straight down.   Draw a free body diagram for each

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You stand on the seat of a chair and then hop off. (a) Duringthe time interval you are in flight down to the floor, theEarth moves toward you with an acceleration of what orderof magnitude? In your solution, explain your logic. Modelthe Earth as a perfectly solid object. (b) The Earth movestoward you through a distance of what order of magnitude?

Planet X was just discovered orbitinga nearby star! It orbits a start that is 6.9 times themass of our sun in a solar system just 31.3 light-years away. The acceleration due to gravity thereis 0.07 g. After making some measurements in lab, you start to daydream about travel to other planets. Your spring gun can launch a projectile with a speed of 3.7 m/s. What would happen if you were tolaunch a projectile at an angle of 32 ° abovehorizontal on Planet X? (a) What maximum height would the projectilereach?(b) How far would the projectile travel before ithit the ground? Assume the projectile lands at the same height it was launched from.

A basketball center holds a basketball straight out, 2.0 m above the floor, andreleases it. It bounces off the floor and rises to a height of 1.5 m.a) What is the ball’s velocity just before it hits the floor?b) What is the ball’s velocity just after it leaves the floor?c) If the ball is in contact with the floor for 0.02 seconds, what are the magnitudeand direction of the ball’s average acceleration while in contact with the floor?

I need help on question 1b, 1c, and 1d?

To study damage to aircraft that collide with largebirds, you design a test gun that will accelerate chicken-sized objectsso that their displacement along the gun barrel is given byx = (9.0 * 103 m/s2)t2 - (8.0 * 104 m>s3)t3. The object leavesthe end of the barrel at t = 0.025 s. (a) How long must the gun barrelbe? (b) What will be the speed of the objects as they leave the end ofthe barrel? (c) What net force must be exerted on a 1.50 kg object at(i) t = 0 and (ii) t = 0.025 s?

A hovercraft is initially at rest but floating above land. The hovercraft has two horizontal thrusters. One provides acceleration of aNORTH= 5.15 m/s2 (NORTH). The second one provides an acceleration of aEAST= 4.75 m/s2 (EAST). If the north thruster fires for 7.33 seconds and the east thruster fires for 4.87 seconds, what is the velocity of the hovercraft after both thrusters fired? Air resistance doesn't have an effect.

7. A speedboat moves on a lake with initial velocity vector vix = 8.51 m/s and v1,y = -2.47 m/s, then accelerates for 6.97 s at an average acceleration of aav x = -0.105 and т ay = 0.1064. What are the speedboats final speed and direction?