Easy High School Physics homework. Just zoom in, thanks. A bicyclist starts at a

Question

Easy High School Physics homework. Just zoom in, thanks.

A bicyclist starts at a speed of 4 m/s and speeds up at a rate of 0.2 m/s^2. How long does it take him to reach a speed of 22 m/s? If my car could go from zero to 100 km/hr in 5 seconds, calculate its acceleration (make sure to convert first!). A train arrives at the station and slows to a stop at a constant acceleration of 9 rn/s in 15 s. What v/as the train's initial velocity? Grace is dri Ang her sports car at 30 miles/hr when a ball rolls out into the street in front of her. Grace slams on the brakes and comes to a stop in 3.0 s. 7/hat //as the acceleration of Grace's car? (watch your units!) Vivian is walking to the doctor's at 1.3 m/s when she glances at her watch and realizes that she is going to be late for her appointment. Vivian gradually quickens her pace at a rate of 0.090 m/s^2. What is Vivian's speed after 10,0s?

Explanation / Answer

6.) v = u + at

=> 22 = 4 + 0.2*t

=> t = 90 sec

7.) acceleration = rate of change of velocity

velocity = 100 km/hr = 27.77 m/s

=> a = dv/dt = (27.77 -0)/5 = 5.55 m/s^2

8.) v = u + at

=> 0 = u + (-9)*15

=> u = 135 m/s

9.) acceleration a = dv/dt = (0 - 30*0.447)/3 = -4.47 m/s^2

10.) t = 10 sec

v = u+at = 1.3 + 0.09*10 = 2.2 m/s

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