1) suppose that the cyclist falls from a stationary bicycle. there is a formula we can use which links the distance travelled in m (d), time taken s (t), initial speed in m/s (u) and acceleration in m/s^2 (a). it is d=ut+1/2at^2. fr a vertical fall the acceleration due to gravitiy is approximately 9.8 m/s^2. if the initial speed is 0 (stationary bicycle), write an equation for the distance fallen in terms of the time by substituting the known values for u and a .
2) sketch the graph of this equation.
3) for a person of average height sitting on a bicycle, estimate how high a cyclist;s head would be above the ground.
4) use this height to estimate the time it takes for the cyclist's head to hit the ground
5) we can also work out the speed (v) at which the cyclists's head hits the ground using the formula v=u+at. write an equation for the speed in terms of time by substituting the known values for u and a.
6) calculate the speed at which a cyclist's head hits the ground in this situation
7) it is believed that a cyclist not wearing a helmet will generally have lasting brain damage if the cyclist's head hits the ground at more than 20 km/h. compare this with the speed you have calculated. write a conclusion outlining your findings in this investigation
PS i think number 1) is d=0t+1/2 (9.0)t^2 ??
thank you
2) sketch the graph of this equation.
3) for a person of average height sitting on a bicycle, estimate how high a cyclist;s head would be above the ground.
4) use this height to estimate the time it takes for the cyclist's head to hit the ground
5) we can also work out the speed (v) at which the cyclists's head hits the ground using the formula v=u+at. write an equation for the speed in terms of time by substituting the known values for u and a.
6) calculate the speed at which a cyclist's head hits the ground in this situation
7) it is believed that a cyclist not wearing a helmet will generally have lasting brain damage if the cyclist's head hits the ground at more than 20 km/h. compare this with the speed you have calculated. write a conclusion outlining your findings in this investigation
PS i think number 1) is d=0t+1/2 (9.0)t^2 ??
thank you
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1)
We are provided with the formula for distance. That is, we are told that we can find the distance traveled, during the free fall of a body, from some point a to some point b. The formula is:
d(t) =V(0) * t+1/2(a)(t)^2 ....where d(t) is the distance in terms of time, a is the acceleration due to gravity and V(0) is the initial velocity. Hence, knowing that V(0) = 0 m/s and a = 9.8 m per second per second, we can plug these values to obtain:
d(t) =V(0) * t+1/2(a)(t)^2 = > d(t) = 4.9(t)^2
2) This is simple, if you have a graphing calculator, then just plug in y = 4.9x^2 to get the graph. If not, then find one online. It should resemble a parabolic curve. Use this: http://www.coolmath.com/graphit/
We are provided with the formula for distance. That is, we are told that we can find the distance traveled, during the free fall of a body, from some point a to some point b. The formula is:
d(t) =V(0) * t+1/2(a)(t)^2 ....where d(t) is the distance in terms of time, a is the acceleration due to gravity and V(0) is the initial velocity. Hence, knowing that V(0) = 0 m/s and a = 9.8 m per second per second, we can plug these values to obtain:
d(t) =V(0) * t+1/2(a)(t)^2 = > d(t) = 4.9(t)^2
2) This is simple, if you have a graphing calculator, then just plug in y = 4.9x^2 to get the graph. If not, then find one online. It should resemble a parabolic curve. Use this: http://www.coolmath.com/graphit/
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