where d represents the distance covered when moving at a speed s during a length of time t.

This formula can be solved for s or t
(if d is in miles and t is in hours, then s has the units of miles/hour)

Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour (1/2 hr) longer tan Smith's.
- Write an expression for Jones' speed in terms of Smith's speed
- Write an expression for Smith's speed
- Write an expression for the time it takes Smith to travel 45 miles
- Write an expression for the time it takes Jones to travel 75 miles
- Write an expression for Jones' time in terms of Smith's time
- Write an equation for Jones' time in terms of Smith's time

In uniform circular motion, the acceleration is perpendicular to the velocity at every instant. Is this true when the motion is not uniform, that is, when the speed is not constant?

Full question is attached.
1) In this question we will consider the motion of a charged particle in uniform electric and magnetic fields that are perpendicular. You may ignore the effects of gravity throughout this question.
a)
i) Consider a charged particle of mass m and charge q which is moving in a uniform electric field

An object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2.
Find (a) the amplitude and (b) the period of this motion.

The Moon revolves arond the earth in 27.3 days in a nearly circular orbit with a radius of 3.8 x 10^5 km. Assuming that the Moon's orbital motion is a uniform circular motion, what is the Moon acceleration as it "falls" toward the earth?

The pistons in an internal combustion engine undergo a motion that is approximately simple harmonic. If the amplitude of motion is 3.5 cm, and the engine runs at 1700 rev/min, find (a) the maximum acceleration of the pistons and(b) their maximum speed.

Hi. Can someone show me how to do the the following problem?
"A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s."
(I don

Two mountain bikers started from the ranger station in Rocky Mountain National Park traveling in the same direction on Trail Ridge Road. The first biker left 1 hour earlier than the second and traveled 10 miles/hour. The second biker left later and traveled 15 miles/hour. By 4:00 pm, the second biker had passed the first and was

An electron moves in a force field due to a uniform electric field E and a uniform magnetic field B that is at right angles to E. Let E = jE and B = kB. Take the initial position of the electron at the origin with initial velocity vo = ivo in the x direction. Find the resulting motion of the particle. Show that the path of motio

A crate is resting on a ramp that is inclined at an angle above the horizontal. As it increased, the crate remains in place until it reaches a value of 29.2°. Then the crate begins to slide down the slope.
(a) Determine the coefficient of static friction between the crate and the ramp surface.
(b) The coefficient of kinet