1. Assume that air resistance is proportional to speed. A parachutist falls from rest. If he did not open his parachute, he would reach a terminal velocity of 90 m/s. With an open parachute, he reaches a terminal velocity of 10 m/s. He opens his parachute 20 s after he started falling. Calculate (a) The distance already fallen at the moment when he opens his parachute; (b) The total distance fallen 40 s after he started falling.
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- 3. A body moving with constant acceleration has a velocity of 12.0 cm/s in the positive x direction when it's x coordinate is 3.00 cm. If its x coordinate 2.00 s later is -5.00 cm, what is the object's acceleration?1. An object is thrown with an initial upward velocity. Taking the upward direction to be positive and neglecting the influence of air resistance, which of the following could be a possible graph of the velocity vy(t)? b. له d. 6543NT Vy (m/s) 3 2 Vy (m/s) 1 0 0.0 0.2 0.4 0.6 0.8 1.0 t(s) 6 10 st 5 4 Vy (m/s) 3) 2 1 0 0.0 0.2 0.4 0.6 0.8 1.0 0 -2 -6 -8 -10 0.0 0.2 0.4 0.6 0.8 1.0 t(s) 65432 - Vy (m/s) 3 1 0 0.0 0.2 0.4 0.6 0.8 1.0 t (s)7: A 7500 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 525 m, its engines suddenly fail so that the only force acting on it is now gravity. a) What is the maximum height the rocket will reach above the launch pad? b) How much time after engine failure will elapse before the rocket crashes on to the launch pad? c) What is the total time the rocket spends in the air? d) How fast will the rocket be moving when it crashes?
- A skydiver leaps out of an airplane but accidentally forgets their parachute. They fall for 6.80 s before reaching terminal velocity and fall for the rest of the way to the ground at that constant terminal velocity. The total trip from the plane to the ground takes 96.6 s. Luckily, the skydiver lands in a tree and survives. How high above the tree was the airplane when the skydiver leaped out?4. A sky diver is using a camera to film his jump. Near the end of his jump, when he is at a height of 50m and falling at a constant rate of 10 m/s, he accidentally drops his camera. (a) With what velocity does the camera strike the ground? (b) How many seconds does it take for the camera to strike the ground after it is dropped? (c) What if (for some bizarre reason) the sky diver threw the camera upward with an upward velocity of 10m/s (relative to the ground) and let the camera fall to the ground. How would the velocity that the camera struck the ground with compare to that of part (a)? How would the time of flight compare to that of part (b)?A golf ball falls from rest. Assume the free-fall acceleration g = 9.80 m/s2. Ignore air resistance. How long does it take for the golf ball to fall from rest for a distance of 23.6 m?
- 1.the speed of a nerve impulse in the human body is about 100 m/s. if you accidentally stub your toe in the dark. estimate the time it takes the nerve impulse to travel to your brain if the average height for humans are 1.7 m * 2.the cheetah can reach a top speed of 114 km/h. while chasing its prey in a short sprint, a cheetah starts from rest and runs 45m in a straight line, reaching a final speed of 72 km/h. what is the cheetah's average acceleration during the short sprint? 3.a certain car is capable of accelerating at a rate of 0.6 m/s^2. How long does it take for this car to go from a speed of 55 mi/h to a speed of 60mi/h. (be cautious of the units) * 4.an object moving with uniform acceleration has a velocity of 12cm/s in the positive x-direction when its x-coordinate is 3cm. if its x-coordinate 2s later is -5cm, what is its acceleration? * 5.a truck covers 40 m in 8.5 s while uniformly slowing down to a final velocity of 2.8 m/s. determine the truck's original speed. *3. The blue F1 Ford truck is travelling at 5 mph as it strikes the black SUV which then strikes the red vW Bug. Assuming all vehicles are manual transmission and in neutral (so we can make a valid assumption of ignoring friction), determine post-impact velocity of each vehicle. COR is 0.7. 3500 Ib 4100 Ib 2200 Ib3. You wake up in a strange room, with opaque walls, and no visible doors or windows. you drop a ball from a height of 1.50 m, and observe that it hits the floor 0.277 s after you drop it. In this case, you suspect you are in deep space, far from any planet or star, and that your rocket is accelerating due to the push of its own engines under the floor. In this case, what must the acceleration of your rocket be? 29.3 m/s^2 58.7 m/s^2 39.1 m/s^2 19.5 m/s^2
- A skydiver jumps out of a helicopter and falls freely for 3.2 s before opening the parachute. (a) What is the skydiver's downward velocity when the parachute opens? m/s (b) How far below the helicopter is the skydiver when the parachute opens? mYou throw a rock directly upward with initial speed vo. It leaves your hand at height h, rises, stops, and reverses direction. As the rock falls downward past height h, which of the following statements is true? Ignore air resistance. The speed of the rock is less than vo. The speed of the rock is equal to vo. The speed of the rock is greater than vo. There is not enough information to tell.A 1000·kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 10·s, then the motor stops. The rocket altitude 14·s after launch is 5200·m. You can ignore any effects of air resistance. (a) What was the rocket's acceleration during the first 10·s? m/s2(b) What is the rocket's speed as it passes through a cloud 5200·m above the ground? m/s