Up 00 5t 4. A spaceship is launched radially away from the earth with the help of a rocket. When the spaceship acquires speed vo, the rocket used is switched off. As the spaceship proceeds further away from the earth, its speed v decreases with time t as shown in the graph and eventually the spaceship acquires a constant velocity that is one fifth of vo. How far away from the centre of the earth, was the rocket switched off?
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- A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.33×1011 m and the orbital period is 1.37 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?A jogger is running around a circular track that has a circumference of 472m. The magnitude of the centripetal acceleration of the jogger is 128cm/s2 .Calculate the jogger's speed in kilometer per hourTwo dots are marked in a disc that is rotating around its center. One of them is 3 cm further than the other to the center of the disc and moves at a constant speed that is 2.5 times as fast as the other. What is the distance from the center of the disc to this far point?
- In the figure below, a lump of wet putty moves in uniform circular motion as it rides at a radius of 20.0 cm on the rim of a wheel rotating counterclockwise with a period of 0.15 s. The lump then happens to fly off the rim at the 5 o'clock position. It leaves the rim at a height of h = 1.20 m from the floor and at a distance of 2.50 m from a wall. At what height on the wall does the lump hit? Use g = 9.8 m/s/s. Hint: You need to turn 5:00 into an angle and use projectile formula for this problem.An Orc archer below a 54 meter high tower (different height from the wall from problem 3) fires his crossbow at 45 m/s at a 53.1 degree angle from horizontal. What is the closest that the orc can stand to the tower to exactly hit a target on the top of the tower? What is the farthest that the orc can stand to the tower to exactly hit a target on the top of the tower? What is the highest point (above the tower, not the ground!) that the orc’s arrow can reach firing at this velocity and angle?A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.01×1011 m and the orbital period is 4.27 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?
- The amusement ride shown is initially travelling on a circular path in a horizontal plane about O with v = 5 ê ft/s and r = 30 ft. The length of the cable is then decreased by a constant rate of 2 ft/s. Determine the speed of the cart after 3 seconds.A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in the figure. The ball's position is shown at 1s1s intervals until ? =3s. At ? =1s=1s, the ball's velocity is ?⃗ = (2 ?̂+ 2 ?̂) ?/?. (A) Determine the ball's velocity at t =0s. (B) Determine the ball's velocity at t =2s. (C) Determine the ball's velocity at t =3s. (D) What is the value of g on Planet Exidor? (E) What was the ball's launch angleA rodeo horse is running around a corral at a speed of 300 ft/s. Let x(t) be the distance of the horse from the third barrel and y(t) his distance from the fourth. (see figure; note that the distance between barrels is 900 řt). At what rate is the horse's distance from the fourth barrel changing at the instant when he is 200 ft from the third? 2 1 3 4
- ic frame of reference. A is the object ing relative to the 6. A pilot is flying to a destination 220 km [N] of her present position. An air traffic controller on the ground tells her the wind velocity is 42 km/h [N 36° E]. She knows her plane cruises at a speed of 230 km/h relative to the air. Ku TA (a) Determine the heading of the plane. (b) How long will the trip take? 7. An airplane flies 5.0 × 10° km from Boston toA baseball player throws a ball at a 40° angle to the ground. The ball lands on the ground some distance away.a. Is there any point on the trajectory where vu and au are parallel to each other? If so, where?b. Is there any point where vu and au are perpendicular to each other? If so, where?ANSWER QUICK! Ive read the honor code and it says that their a question can have up to 3 subparts (i.e. part a, b, and c). So please answer all questions. A train is travelling east along a straight run of track at 66 km/hr. Inside, two siblings 2.2 m apart are playing catch directly across the aisle. The kid wearing a PJ Harvey T-shirt throws the ball horizontally north. The ball crosses the train and is caught 1.2 s later by their little sibling. (Ignore any effects of gravity or friction.) Find the magnitude of the ball's velocity in m/s from the little brother's point of view. What is the magnitude of the velocity (in m/s) of the ball as seen by someone standing still outside the train? What is the angle (in degree) that a stationary observer would say the ball makes during the throw, relative to the direction of the train?