A caterpillar's speed decreases from 0.45cm/s to 0.20cm/s at a rate of -0.05cm/s2 as it climbs a leaf. How quickly does the caterpillar undergo metamorphosis?

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?

The 25-Mg boxcar A 16m/s to the right is coasting on the horizontal track when it encounters a 9-Mg car B coasting at 2m/s toward it. If the two cars meet and couple together, determin common speed in m/s just after the coupling. Please see details below. Rounding numbers to 2 decimal places at the end.

Help with the following question

6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function S h(t) = 20t2 (2 – t). (a) Find the velocity function. (b) At what time t > 0 does the object hit the ground? (c) At what time t > 0 does the object stop moving? (d) Is the object moving upwards or moving downwards at t = 1? Say why. (e) Find the acceleration function.

a) What is the initial velocity of the object? v (m/s) 61 0 m/s 4 b) What is the average velocity during time t = 4s to 5s? 3 2 3 m/s c) How many times does the object change direction of travel? t (s) 0 11 12 12 4. 7 & 9 -1 (NOTE: time zero does not count and standing still does not count as a direction -2 change) 2

The pace at which a caterpillar climbing a leaf slows from 0.75cm/s to 0.50cm/s is -0.05cm/s2. How long does it take for the caterpillar to transform?

ii. Derive an expression for the maximum displacement possible for the block that will allow the block to still remain at rest. Express your answer in terms of MM, kk, μk, μs, and physical constants, as appropriate.

The acceleration of a rocket is a = -bV, where V is the speed of exhaust gases coming out of the thruster. What are the SI units of b?