Mechanics | Relativity Answers

In the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle.



Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1

what must be the component of a vector which added the following vectors 10i-7j and 4i + 2j gives rise to a vector 7j?

1. Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say r^n, and some power of v, say v^m i.e where k is a proportionality constant. Determine the values of n and m and write the equation for the acceleration. [5]

A glider with a mass of 0.3105 kg is pulled along a track by a pulley with a 0.010kg weight at the end. Compute the acceleration of the Glider.

8. Determine the number of kilowatt-hours (kWh) for each of the following energy consumption
a. 2500 W for 2h
b. 100,000 W for 5h

What is the Linear Momentum of a car with 15 Newtons and and an acceleration of 30.0 meters?

If I drop a rock off a cliff into the water and 3.4 seconds after I drop the rock I hear the splash, how high is the cliff?
What formula do I have to use to find this solution?

A bus moving with constant acceleration covers the distance between two stops 82m apart in 6.3 sec. It's speed as it passes the second stop is 15.4 m/sec.A. What is its speed as it passes by the first stop?B. What is its acceleration?C How much farther will it go if it travels 1.6 sec. More?

a uniform elastic string has length a1 when tension is t1 and length a2 when tension is t2 . the amount of work done in streching it from its natural length to length a1+a2

Casey hits a long fly ball over the heads of the outfielders. He runs 27.4m (90ft) from home plate to first base, then the same distance to 2nd base, to third base, and back to home plate. What is caseys total displacement?