Aporsche challenges a honda to a 400 m race. because the porsche’s acceleration of 3.5 m/s 2 is larger than the honda’s 3.0 m/s 2, the honda gets a 100-m head start—it is only 300 m from the finish line. assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance. who wins, and by how much time?

Explanation:

It is given that,

For Honda:

Initial velocity, u = 0

Initial position,

Final position,

Acceleration,

Let t is the time taken by Honda. Using second equation of motion as :

t = 14.14 seconds

For Porsche’s :

Initial velocity, u = 0

Initial position,

Final position,

Acceleration,

Let t' is the time taken by Honda. Using second equation of motion as :

t' = 15.11 seconds

Since, the time taken by Honda is less while the time taken by Porsche's is more. So, Honda wins the race by (15.11 - 14.14 = 0.97) seconds. Hence, this is the required solution.

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.