P of y = 0.12². However, at a horizontal distance of 10m later, the UAV suffers a complete power failure. Find An aerobatic UAV pulls out of a dive having just barely grazed the grass on a flat field. It has a trajectory the velocity of the UAV if it was traveling with a speed of 15m/s at the time of the failure. Then find the speed at which the UAV hits the ground. y = 0.1x² dv d+ +1 = Polx 2 0.1 V = xxco.nx 4 = 2αxx ✓ kace P. 2 x запоз 11

A physics teacher performs three different collision experiments in class.He uses two dynamics carts on an aluminum (frictionless) track.The red cart has a mass of 0.486kg and moves to the right with a speed of 0.255m/s.The blue cart has a mass of 0.267kg and moves to the left with a speed of 0.495m/s. a.In the first collision, the carts have Velcrostuck on the front of them. The carts stick to each other upon impact.Find the final velocity of the two carts after they have stuck together. b.In the second collision, the impact is cushioned by magnets on the fronts of the carts. The magnets do not provide a perfectly elastic collision.After the carts bounce away from each other, the red cart moves to the left with a speed of 0.205m/s.Determine the final velocity of the blue cart. c.In the third collision, the collision is cushioned by a hook’s law spring, which provides a perfectly elastic collision. i.Determine the final velocity of each cartafter the spring recoils (after it compresses…

Q16. As shown in the image below, the 0.6-kg ball strikes the rough ground and rebounds. The directions of its velocities before and after the strike are shown. If the speeds are v₁ = 28 m/s and v₂ = 15 m/s, determine the magnitude of the ball's linear momentum (in kg-m/s) before it strikes the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. V₁ Your Answer: 45° Answer 30° 02

Q 03: The track for this racing event was designed so that riders jump off the slope at 30°, from a height of 1 m. During a race it was observed that the rider shown in Fig. remained in mid air for 1.8 s. Determine the speed at which he was traveling off the ramp, the horizontal distance he travels before striking the ground, and the maximum height he attains. Neglect the size of the bike and rider. y C 30° h 1 m В R

Q/The block shown was initially at rest on the plane. A force P = 500 N is applied on the block Determine the velocity of the block after 5 seconds. Note: please make it quick ??

2/13 In the final stages of a moon landing, the lunar mod- ule descends under retrothrust of its descent engine to within h = 5 m of the lunar surface where it has a downward velocity of 2 m/s. If the descent engine is cut off abruptly at this point, compute the impact velocity of the landing gear with the moon. Lunar gravity is of the earth's gravity. h Ans. v = 4.51 m/s

(1). In a clay pigeon shoot the target is launched vertically from ground level with speed v. At time T later, the competitor fires a rifle inclined at an angle 0 to the horizontal. The competitor is also at ground level and is at a distance / from the launcher. The speed of the bullet leaving the rifle is u. Show that, if the competitor scores a hit, then Isin0 - (vT -9T2) cos0 = " 1. v-gT If T =0, deduce that v < u.

A projectile is fired vertically from point A with an initial speed of 280 ft/sec. Relative to an observer located at B, at what times (find two times t₁ < t₂) will the line of sight to the projectile make an angle of 25° with the horizontal? Compute the magnitude of the speed of the projectile at each time, and ignore the effect of aerodynamic drag on the projectile. Answers: t₁ = B t₂ = IM D 25⁰ 360' 280 ft/sec sec, |v|= A IM sec, |v|= i ft/sec ft/sec

Blocks A and B are connected by a cord that passes over pulleys and through a collar C. The system is released from rest when x =1.7 m. As block A rises, it strikes collar C with perfectly plastic impact (e = 0). After impact, the two blocks and the collar keep moving until they come to a stop and reverse their motion. As A and C move down, C hits the ledge and blocks A and B keep moving until they come to another stop. Determine (a) the velocity of the blocks and collar immediately after A hits C, (b) the distance the blocks and collar move after the impact before coming to a stop, (c) the value of x at the end of one complete cycle. в 3 kg 6 kg A 5 kg

A toy launcher projects a missile with an initial speed of 20 m/sec. If the missile lands 12 m away at the same elevation, what must have been the angle of elevation of the launcher?