1. How long will a bus take to travel 150 km at an average speed of
40 km/h?
2.
2. A cheetah can run at 30 m/s, but only for about 12 s. How far
will it run in that time?
3. It takes a cheetah just 3 s to reach its top speed of 30 m/s.
What is its acceleration?
Solution.
1.l=150km;1. l=150km;1.l=150km;
v=40km/h;v=40km/h;v=40km/h;
l=vt ⟹ t=lv=150km40km/h=3.75h.l=vt\implies t=\dfrac{l}{v}=\dfrac{150km}{40km/h}=3.75h.l=vt⟹t=vl=40km/h150km=3.75h.
2.v=30m/s;2. v=30 m/s;2.v=30m/s;
t=12s;t=12s;t=12s;
l=vt=30m/s⋅12s=360m;l=vt=30 m/s\sdot12s=360m;l=vt=30m/s⋅12s=360m;
3.v=30m/s;3. v=30m/s;3.v=30m/s;
v0=0m/s;v_0=0m/s;v0=0m/s;
t=3s;t=3s;t=3s;
a=v−v0t=30m/s3s=10m/s2;a=\dfrac{v-v_0}{t}=\dfrac{30m/s}{3s}=10m/s^2;a=tv−v0=3s30m/s=10m/s2;
Answer: 1.l=3.75h;1. l=3.75h;1.l=3.75h;
2.l=360m;2.l=360m;2.l=360m;
3.a=10m/s2.3. a=10 m/s^2.3.a=10m/s2.
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