the distance travelled in t seconds by an object starting whith a speed of u meter/second and moving along a straight line with speed increase at the rate of a meter/second every second is given by ut+1÷2 atsquare meter.an object moving in this manner travels 10 meter in 2 seconds and 28 meter in 4 seconds.with what speed did it start?at what rate does its speed change?
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Answer:
3 m/s
& 2 m/s²
Step-by-step explanation:
S = ut + (1/2)at²
S₂ = u*2 + (1/2)a(2)² = 10
=> 2u + 2a = 10
=> u + a = 5 eq1
S₄ = u*4 + (1/2)a(4)² = 28
=> 4u + 8a = 28
=> u + 2a = 7 eq 2
eq2 - eq1
=> a= 2
putting in eq 1
u = 3
it started with speed = 3 m/s
Rate of Speed change = a = 2m/s²
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