The engine in an imaginary sports car can provide constantpower to the wheels ov

Question

The engine in an imaginary sports car can provide constantpower to the wheels over a range of speeds from 0 to 70 miles perhour (mph). At full power, the car can accelerate from zero to 32.0mph in time 1.00 s. A more realistic car would cause the wheels to spin in amanner that would result in the ground pushing it forward with aconstant force (in contrast to the constant power in Part A). Ifsuch a sports car went from zero to 32.0 mph in time1.00 s, how long would it take to go from zero to64.0 mph? The engine in an imaginary sports car can provide constantpower to the wheels over a range of speeds from 0 to 70 miles perhour (mph). At full power, the car can accelerate from zero to 32.0mph in time 1.00 s. A more realistic car would cause the wheels to spin in amanner that would result in the ground pushing it forward with aconstant force (in contrast to the constant power in Part A). Ifsuch a sports car went from zero to 32.0 mph in time1.00 s, how long would it take to go from zero to64.0 mph? A more realistic car would cause the wheels to spin in amanner that would result in the ground pushing it forward with aconstant force (in contrast to the constant power in Part A). Ifsuch a sports car went from zero to 32.0 mph in time1.00 s, how long would it take to go from zero to64.0 mph?

Explanation / Answer

a = v / t = 32 mph / 1 sec = 32 mph /sec    the acceleration of the sports car t' = v' / a = 64 mph / (32 mph / sec) = 2sec

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