A race car starts from rest on a circular track of radius 378 m. The car's speed increases at the constant rate of 0.580 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following. a. The speed of the race car
b. The distance traveled
c. the elapsed time

a)

b)

c)

Explanation:

From the question we are told that:

Radius

Acceleration

a)

Generally the  equation for speed of the car is mathematically given by

b)

Generally the  equation for distance traveled of the car is mathematically given by

c)

Generally the  equation for time of the car is mathematically given by

i guess the game developers wanted to give off a more gamey/cartoony feeling without trying to copy fortnite exactly

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft