Question 1.A car is traveling at 6.94 m/s on a straight horizontal highway, whic
ID: 1955063 • Letter: Q
Question
Question 1.A car is traveling at 6.94 m/s on a straighthorizontal highway, which we assume extends
from our left to our right. The wheels of the
car have radii of 36.9 cm.
If the car speeds up with an acceleration
of 1.98 m/s2 for 2.51 s, find the number of
revolutions of the wheels during this period.
Answer in units of rev
Question 2
A toy rocket, launched from the ground, rises
vertically with an acceleration of 13 m/s2 for
7.6 s until its motor stops.
Disregarding any air resistance, what max-
imum height above the ground will the rocket
achieve? The acceleration of gravity is
9.8 m/s2 .
Answer in units of km
Explanation / Answer
Initial velocity u = 6.94 m / s Radii r = 36.9 cm = 0.369 m Accleration a = 1.98 m / s 2 Time t = 2.51 s Distance travel in time t is S = ut + ( 1/ 2) at 2 = 17.4194 + 6.237 = 23.65 m Circumference of the wheel S ' = 2r = 2.318 m Number of revolutions N = S / S' = 10.2 rev (2). Accleration a = 13 m / s 2 Time t = 7.6 s Initial velocity u = 0 Velocity after time t is v = u + at = 98.8 m / s Distance travelled in time t is S = ut + ( 1/ 2) at 2 = 0 + 375.44 = 375.44 m Height travelled after engine off h = v 2 / 2g = 498 m So, total height reached H = S + h = 873.44 m = 0.87344 km (2). Accleration a = 13 m / s 2 Time t = 7.6 s Initial velocity u = 0 Velocity after time t is v = u + at = 98.8 m / s Distance travelled in time t is S = ut + ( 1/ 2) at 2 = 0 + 375.44 = 375.44 m Height travelled after engine off h = v 2 / 2g = 498 m So, total height reached H = S + h = 873.44 m = 0.87344 kmRelated Questions
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