A 2000-kilogram sports car accelerates at a rate of 30 meters per second squared. the velocity of the car is v = at, where a is acceleration in meters per second squared, and t is time in seconds. the kinetic energy of the car is k e = one-half m v squared, where m is the mass in kilograms. which function represents the kinetic energy of the car after accelerating for t seconds? ke = 1000t2 ke = 30,000t2 ke = 60,000t2 ke = 900,000t2

We need to know about kinetic energy to solve this problem. Kinetic energy depends on the mass of the object and the speed of the object. It can be defined as

KE = 1/2 . m .v²

where KE is kinetic energy, m is the mass of the object and v is the velocity.

From the question above, we know that:

m = 2000 kg

a = 30 m/s²

v = a . t

By substituting the parameter, we get

KE = 1/2 . m .v²

KE = 1/2 . 2000 .(30t)²

KE = 1000 . 900t²

KE = 900,000t²

Hence, the kinetic energy in terms of t is 900,000t².

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