A caterpillar's speed decreases from 0.70cm/s to 0.45cm/s at a rate of -0.04m/s2 as it climbs a leaf. How quickly does he caterpillar undergo metamorphosis?
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Q: A caterpillar's speed decreases from 0.70cm/s to 0.45cm/s at a rate of -0.04m/s2 as it climbs a…
A: initial velocity (u) = 0.70 cmsfinal velocity (v) = 0.45 cmsacceleration (a) = -0.04 ms2= -4 cms2
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- The height of a helicopter above the ground is given by h = 3t^2+2.0t^4, where h is in meters and t is in seconds. At t=2.0s, the helicopter releases a small bag. a) Calculate the maximum height the bag reaches measured from the ground. b) How long after the bad is released, does it strike the ground? c) Calculate the speed of vag when it hits the ground.A 20-kg child slides down a playground side with a constant acceleration of a=1.3m/s^2 parallel to the surface of the slide. The child starts sliding with an initial speed of V0. Refer to the figure6: In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. Assume a pilot’s speed upon impact was 54 m/s and the trees and snow stopped him over a distance of 7.6 m. Use a coordinate system where down is positive and, assuming constant acceleration, find the pilot’s acceleration after impact, in meters per second squared.
- 3. In Physics, the height of a free-falling object at a given time t is given by h = –16t² + v,t + h., where v, is the initial velocity, and h, is the initial height. A student throws a ball upward from a height of 48ft, initially at 32 ft/s. What is the maximum height of the ball?When the human body is at rest, the heart pumps 4.6 L of blood into the aorta every minute. During some exceptional exertion, such as playing sports, the amount of blood delivered to the aorta increases to 25 L every minute. If the area of the opening of the aorta is A = 0.81 cm2 What is the average velocity of blood as it enters the aorta in each of these cases?If you throw up a ball, after 4 seconds it return back to your hands, what is the height of this ball from your hands to the highest position. (Assume g=10m.s-²) 18 O 15 metres O 20 metres O 25 metres 30 metres Vo h
- 2. An object of mass 200 g (0.2 kg) is thrown vertically upwards with a velocity of 8 m/s from a height of 10 m above the ground. It reaches certain maximum height and falls straight back to ground. Ignore air resistance in this problem. (a) Draw v-t graph that represents the velocity of the object after it is launched upwards and until it hits the ground. (b) How long does it take for the object to reach the maximum height? (c) What is the maximum height of the object from the ground? (d) How long does it take for the object to reach the ground from the highest point of motion? (e) What is the velocity of the object as it reaches ground? (Hint: Not zero).At what speed must a basketball player leave the ground to rise 1.1 m above the floor in an attempt to get the ball?The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. (Figure 1) shows the speed of one of its mandible jaws versus time in microseconds. What is the magnitude of the maximum acceleration of the ant's mandible? The mass of a trap-jaw ant's mandible has been estimated to be about 1.1×10−7kg1.1×10−7kg. Estimate the maximum force exerted by one mandible.
- A caterpillar's speed decreases from 0.50cm/s to 0.25cm/s at a rate of -0.04cm/s2 as it climbs a leaf. How quickly does the caterpillar undergo metamorphosis?A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack. As she starts the car from rest, it begins to accelerate to a speed of 120 kph in 9 s. a. Determine the magnitude of the total acceleration of the car, 4 s after the car begins to increase its speed. b. If she maintains the speed of the car to be 120 kph, determine the magnitude of the total acceleration of the car after 5s. c. Upon accelerating to 120 kph, will the car pass its starting point? Prove using kinematic equations.Problem 2: Kinematics and vectors. An object is moving on the xy plane with velocities given by: V₂ x = (10.0-0.500t)1 and v = (-5.00t+0.025²) j Determine the following quantities: a. The displacement of the object as a function of time. b. The average velocity of the object from for the time interval from 0 to 10 s.