Mechanics | Relativity Answers

Two aircraft P and Q are flying at the same speed, 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of the velocity of the aircraft P relative to aircraft Q (shows with graphically).

the car increased its speed from 86.4 km / h to 133.2 km / h in 2.5 seconds.
Calculations of the acceleration of the car!

Two aircraft P and Q are flying at the same speed, 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of the velocity of the aircraft P relative to aircraft Q (shows with graphically).

Two cars A and B are moving along a straight Road in the same direction with velocities of 25km/h and 40km/h, respectively find the velocity of car B relative to car A.

A motorcycle slows down on a sharp horizontal turn, going from 30.0 m/s to 10.0 m/s in 15.0 s . The radius of the curve is 166 m. Assuming the motorcycle slowing down during this time at the constant rate, find the magnitude of the total acceleration in m/s² at the moment the motorcycle speed reaches 10.0 m/s. 

A bird flies North with a force of 59 N. A wind due South hits the bird with a force of 32 N. What is the net force of the bird? (Remember direction.)

A gardener pushes a lawnmower with a force of 1000 N directed along its handle which makes an angle of 60º with the ground in order for it to move at a constant velocity. You are required to calculate the following:

a. The component of this force which is directed horizontally, H, in order to overcome the frictional forces and maintain a constant velocity.

b. the component of the force which is directed vertically downwards, V .

A bicyclist increases her speed from 4.0 m/s to 6.0 m/s. The combined mass of the bicyclist and the bicycle is 55 kg. How much work did the bicyclist do in increasing her speed?

Gerri leaves the long jump takeoff board with a vertical velocity of 2.8 m⋅s^-1 and a horizontal  velocity of 7.7 m⋅s^-1

a) What is Gerri’s resultant velocity at takeoff? 

b) What is Gerri’s takeoff angle - the angle of her resultant takeoff velocity with horizontal? c) What is Gerri’s horizontal velocity just before she lands? 

d) How long Gerri stayed in the air? 

e) What was her jump length? if she landed perfectly 

f) What is Gerri’s vertical velocity at the end of her flight? 

g) If Gerri’s center of gravity was 1.0 m high at the instant of takeoff, how high will it be at the  peak of her flight?